In this paper, the notion of L-R crossed coproduct is introduced as a unified approach for smash coproducts, crossed coproducts and L-R smash coproducts of Hopf algebras.A duality theorem for L-R crossed coproduct is ...In this paper, the notion of L-R crossed coproduct is introduced as a unified approach for smash coproducts, crossed coproducts and L-R smash coproducts of Hopf algebras.A duality theorem for L-R crossed coproduct is proved.展开更多
This paper introduces the concepts of cylinder coalgebras and cylinder coproducts for quasitriangular bialgebras, and points out that there exists an anti-coalgebra isomorphism （H,△^-）≌ （H,△^-）, where （H, △^-...This paper introduces the concepts of cylinder coalgebras and cylinder coproducts for quasitriangular bialgebras, and points out that there exists an anti-coalgebra isomorphism （H,△^-）≌ （H,△^-）, where （H, △^-） is the cylinder coproduct, and （H,△^-） is the braided coproduct given by Kass. For any finite dimensional Hopf algebra H, the Drinfel＇d double （D（H）,△^-D（H）） is proved to be the cylinder coproduct. Let （H, H, R） be copaired Hopf algebras. If R ∈ Z（H×H） with inverse R-1 and skew inverse R, then the twisted coalgebra （H^R）^R-1 is constructed via twice twists, whose comultiplication is exactly the cylinder coproduct. Moreover, for any generalized Long dimodule, some solutions for Yang-Baxter equations, four braid pairs and Long equations are constructed via cylinder twists.展开更多
Exploring and evaluating alternative feed ingredients to be used in swine diet is essential due to highly variable cost and limited availability of conventional feed ingredients. Tubers and agro-industrial coproducts ...Exploring and evaluating alternative feed ingredients to be used in swine diet is essential due to highly variable cost and limited availability of conventional feed ingredients. Tubers and agro-industrial coproducts could provide the basis for producing affordable swine feed. However, information on the nutritional value of these potential alternative feedstuffs is necessary while considering their use in swine feeding program. Four tubers(purple sweet potato [PSP], okinawan sweet potato, taro and cassava) and 3 coproducts(okara, wheat millrun [WMR] and barley brewers grain [BBG]) were analyzed for their proximate nutrients, starch, fibers and gross energy(GE) content. Two independent in vitro studies were carried out for tubers and coproducts to determine their nutrients digestibility using a 3-step enzymatic assay(which mimics the digestion occurring in the gastrointestinal tract of swine) with 9 replicates of each sample digested in 3 batches equally. All replicate samples were used to determine in vitro dry matter digestibility(IVDDM) while 2 replicates from each batch were used to determine in vitro GE digestibility(IVDGE). Among tubers, CP content was the highest in taro(8.8%) and the lowest in cassava(3.7%), while CP content among coproducts was the highest in okara(22.7%) and the lowest in WMR(11.8%). Ether extract content among tubers ranged from 1.1% to 2.8%. The GE content among tubers, ranged from 4,134 to 4,334 kcal/kg whereas among coproducts it ranged from 4,270 to 4,794 kcal/kg. Among tubers, IVDDM for PSP was significantly higher(86.8%, P < 0.001) than taro(70.3%). Among coproducts, IVDDM of okara(74.1%) was significantly higher(P < 0.05) than BBG(61.3%). In conclusion,both tubers and coproducts can be used as a partial substitute of conventional energy feedstuffs in swine diets as these are rich in GE and other nutrients and are fairly digestible.展开更多
Taking completely distributive lattices for objects and complete lattice homomorphisms for morphisms, we get a category Lat (see Refs. [1—3]). There is a primary question about Lat: Does every family of objects have ...Taking completely distributive lattices for objects and complete lattice homomorphisms for morphisms, we get a category Lat (see Refs. [1—3]). There is a primary question about Lat: Does every family of objects have product and coproduct in Lat? We prove that Lat has products and coproducts, and describe the intrinsic relation between展开更多
In this paper, we show that if H is a finite-dimensional Hopf algebra such that H and H^＊ are semisimple, then gl.dim（A#σH）=gl.dim（A）, where a is a convolution invertible cocycle. We also discuss the relationshi...In this paper, we show that if H is a finite-dimensional Hopf algebra such that H and H^＊ are semisimple, then gl.dim（A#σH）=gl.dim（A）, where a is a convolution invertible cocycle. We also discuss the relationship of global dimensions between the crossed product A^#σH and the algebra A, where A is coacted by H. Dually, we give a sufficient condition for a finite dimensional coalgebra C and a finite dimensional semisimple Hopf algebra H such that gl.dim（C α H）=gl.dim（C）.展开更多
Let H be a finite dimensional cosemisimple Hopf algebra, C a left H-comodule coalgebra and let C = C/C（H^＊）^＋ be the quotient coalgebra and the smash coproduct of C and H. It is shown that if C/C is a eosemisimple...Let H be a finite dimensional cosemisimple Hopf algebra, C a left H-comodule coalgebra and let C = C/C（H^＊）^＋ be the quotient coalgebra and the smash coproduct of C and H. It is shown that if C/C is a eosemisimple coextension and C is an injective right C-comodule, then gl. dim（the smash coproduct of C and H） = gl. dim（C） = gl. dim（C）, where gl. dim（C） denotes the global dimension of coalgebra C.展开更多
In this paper we mainly give Maschke-type theorems for weak smash coproduct coalgebras which simultaneously show how to deal with the complicated computations of weak smash coproduct coalgebras.
The extraction of coal measure gas has been shifted toward thin gas reservoirs due to the depletion of medium-thick gas reservoirs.The coproduction of coalbed gas,shale gas,and tight sandstone gas(called a multisuperp...The extraction of coal measure gas has been shifted toward thin gas reservoirs due to the depletion of medium-thick gas reservoirs.The coproduction of coalbed gas,shale gas,and tight sandstone gas(called a multisuperposed gas system)is a key low-cost technology for the enhancement of natural gas production from thin gas reservoirs in coal measure.As an emerging engineering exploitation technology at its early stage of development,gas coproduction confronts various engineering challenges in hydraulic fracturing,bottom-hole pressure regulation,well network arrangement,and extraction sequence.The current understanding of the opportunities and challenges in the gas coproduction from the multisuperposed gas system is not comprehensive enough.In this case,the previous achievements in the field of gas coproduction should be urgently reviewed to provide valuable guidance and recommendations for further development.This review first discusses the regional and spatial distribution characteristics and possible reservoir combinations of gas reservoirs in coal measure.Then,the basic properties of different reservoirs,engineering challenges,and interlayer interference are comparatively analyzed and discussed.The current simulation models for gas coproduction and potential future research directions are further explored.The results indicate that the coupling effects of reservoir heterogeneity,interwell interference,and geological structure for increasing coproduction prediction accuracy should be included in future simulation models for gas coproduction.Careful investigation is required to explore the mechanisms and their further quantifications on the effects of interlayer interference in gas coproduction.The fractal dimension as a scale can play an important role in the characterization of the gas and water transport in different reservoirs.The machine learning methods have tremendous potential to provide accurate and fast predictions for gas coproduction and interlayer interference.展开更多
The increased risk of chronic diseases has led to increasing importance of coarse foods in daily life,but the inclusion of new ingredients has a great degree of influence on the structural characteristics and sensory ...The increased risk of chronic diseases has led to increasing importance of coarse foods in daily life,but the inclusion of new ingredients has a great degree of influence on the structural characteristics and sensory qualities of the food.The effects of five different particle size variations on the physicochemical characteristics,dough,and steamed bread structure of Flaxseed-based milk coproduct(FMC)were investigated.As the particle size decreases,the structure of the dough becomes denser due to an increase in water retention capacity and dissolution capacity,weakening the competition for dough moisture and allowing for an increase in air-holding capacity.The reduction in particle size increased the specific volume of the steamed bread,a decrease in the spread ratio,and an optimization of hardness and elasticity,as well as an increase in consumer acceptance of the FMC steamed bread.However,it is not the smaller the particle size,the higher the quality of steamed bread,appropriate reduction of particle size can improve the quality of steamed bread.In addition,the addition of FMC reduces fat digestion.Therefore,the present study proposes a method to change the particle size of FMC to optimize the quality of the steamed bread and to reduce fat digestibility by adding FMC.展开更多
The duality theorem of generalized weak smash coproducts of weak module coalgebras and comodule coalgebras over quantum groupoids is studied.Let H be a weak Hopf algebra,C a left weak H-comodule coalgebra and D a left...The duality theorem of generalized weak smash coproducts of weak module coalgebras and comodule coalgebras over quantum groupoids is studied.Let H be a weak Hopf algebra,C a left weak H-comodule coalgebra and D a left weak H-module coalgebra.First,a weak generalized smash coproduct C×lH D over quantum groupoids is defined and the module and comodule structures on it are constructed.The weak generalized right smash coproduct C×rL D is similar.Then some isomorph-isms between them are obtained.Secondly,by introducing some concepts of a weak convolution invertible element,a weak co-inner coaction and a strongly relative co-inner coaction,a sufficient condition for C×rH D to be isomorphic to Cv D is obtained,where v∈WC（C,H）and the coaction of H on D is right strongly relative co-inner.Finally,the duality theorem for a generalized smash coproduct over quantum groupoids,（C×lH H）×lH H≌Cv（H×lH H）,is obtained.展开更多
Let （H, a） be a monoidal Hom-bialgebra and （B,p） be a left （H, a）-Hom-comodule coalgebra. The new monoidal Hom-algebra B#y H is constructed with a Hom-twisted product Ba[H] and a. B × H Hom-smash coproduc...Let （H, a） be a monoidal Hom-bialgebra and （B,p） be a left （H, a）-Hom-comodule coalgebra. The new monoidal Hom-algebra B#y H is constructed with a Hom-twisted product Ba[H] and a. B × H Hom-smash coproduct. Moreover, a sufficient and necessary condition for B#y / to be a monoidal Hom-bialgebra is given. In addition, let （H, a） be a Hom-σ- Hopf algebra with Hom-〇 --antipode SH, and a sufficient condition for this new monoidal Hom-bialgebra B#y H with the antipode S defined by S（b×h）=（1B×SH（a^-1）b（-1）））（SB（b（0））×1H to be a monoidal Hom-Hopf algebra is derived.展开更多
Reactive dividing-wall column(RDWC) technology plays a critical role in the energy saving and high efficiency of chemical process.In this article, the process of co-producing ethyl acetate(EA) and n-butyl acetate(BA) ...Reactive dividing-wall column(RDWC) technology plays a critical role in the energy saving and high efficiency of chemical process.In this article, the process of co-producing ethyl acetate(EA) and n-butyl acetate(BA) with RDWC was studied.BA was not only the product, but also acted as entrainer to remove the water generated by the two esterification reactions.Experiments and simulations of the co-production process were carried out.It was found that the experimental results were in good agreement with the simulation results.Two kinds of RDWC structures(RDWC-FC and RDWC-RS) were proposed, and the co-production process operating parameters of the two types of RDWC were optimized by Aspen Plus respectively.The optimal operating parameters of the RDWC-FC were determined as follows: 0.6 of the reflux ratio of aqueous phase(RR), 0.66 of the vapor split(R_V) and 0.51 of the liquid split(R_L).And the optimal operating parameters of the RDWC-RS were shown as follows: RR was 0.295 and R_V was 0.61.Furthermore, the energy saving analysis of the co-production process was based on the annual output of 10000 tons of EA, compared with the traditional reaction distillation(RD) to prepare EA and BA, the reboiler duty of the RDWC-FC column could save 20.4%, TAC saving 23.6%; RDWC-RS reboiler energy consumption could save 17.0%, TAC 22.2%.展开更多
There are many problems in terms of safe coal production and the sound developmentof the coal industry.Accompanying the intensification and increasing efficiencyof coal production and the conducting of mining operatio...There are many problems in terms of safe coal production and the sound developmentof the coal industry.Accompanying the intensification and increasing efficiencyof coal production and the conducting of mining operations at deeper and more remoteareas of mines,the efficient recovery and utilization of Coal Mine Methane:(CMM) is animportant issue in improving and stabilizing the productivity in the coal mining industry withhigh levels of gas,where the incidence of gas outbursts is increasing.We plan to studyvarious aspects of the development of production technology and characteristics of themine site.This is to establish the technology for highly efficient coproduction coal and gasoperation rate.As a result,the productivity at the coal mine face will increase due to thereduction in gas emissions in the mining face.Effective use of recovered gas can be expectedto reduce global warming by reducing the amount of coal mine methane gas emissionin the air.展开更多
Let （C,α） and （H, β） be Hom-bialgebras and ω ： C × H → H × C a linear map. We introduce a Horn-ω-smash coproduct （Cω H, γ） and give necessary and sufficient conditions for （Cω H, γ） to be...Let （C,α） and （H, β） be Hom-bialgebras and ω ： C × H → H × C a linear map. We introduce a Horn-ω-smash coproduct （Cω H, γ） and give necessary and sufficient conditions for （Cω H, γ） to be a Hom-bialgebra. We study the quasi-triangular structures over （Cω H, γ） and show the necessary and sufficient conditions for （Cω H, γ R） to be a quasi-triangular Hom-Hopf algebra. As applications of our results, we introduce the concept of D（H）＊ and construct quasi-triangular structures over D（H）＊.展开更多
This paper,mainly gives the structure theorem for module coalgebras by a kind of new method,and deletes the condition that the antipode S of the Hopf algebra H is bijective.
In this paper, we construct a cocylindrical object associated to two coalgebras and a cotwisted map. It is shown that there exists an isomorphism between the cocyclic object of the crossed coproduet coalgebra induced ...In this paper, we construct a cocylindrical object associated to two coalgebras and a cotwisted map. It is shown that there exists an isomorphism between the cocyclic object of the crossed coproduet coalgebra induced from two coalgebras with a cotwisted map and the cocyclic object related to the diagonal of the cocylindrical object.展开更多
Flaxseed milk coproduct(FMC)is a by-product of flaxseed milk.Okara is a by-product of processed soybean products.In this study,we investigated the quality of dough and Chinese steamed bread(CSB)with the addition of FM...Flaxseed milk coproduct(FMC)is a by-product of flaxseed milk.Okara is a by-product of processed soybean products.In this study,we investigated the quality of dough and Chinese steamed bread(CSB)with the addition of FMC and okara.We also examined the in vitro starch digestibility,expected glycemic index(eGI),starch crystallinity,and short-range order structure of CSB.The results showed that FMC and okara decreased the dough fluidity,formed a dense structure,and enhanced the mechanical properties of the dough.FMC and okara increased the hardness,gumminess,and chewiness of the CSB,while decreasing its cohesion and elasticity.The addition of FMC and okara improved the nutrient content of CSB and reduced the eGI from 75.86 to 51.56.FMC and okara altered the multiscale structure of starch,effectively shielding the amylase site of action,and limited the interaction between amylase and starch.This study provides a reference for the high-value utilization of oilseed processing by-products.展开更多
In this paper we develope the notions of crossed coproduct of Hopf algebras and study an equivalent theorem of generalized crossed coproduct of H weakly comodule coalgebras and H module coalgebras. The main result is ...In this paper we develope the notions of crossed coproduct of Hopf algebras and study an equivalent theorem of generalized crossed coproduct of H weakly comodule coalgebras and H module coalgebras. The main result is to prove a structure theorem about B cocleft H module coalgebras.展开更多
We develop the Radford's biproduct theorem which plays an important role in giving a negative answer to a conjecture of I Kaplansky. Let B, H be two Hopf algebras with H acting weakly on B and α, β : B → H H be...We develop the Radford's biproduct theorem which plays an important role in giving a negative answer to a conjecture of I Kaplansky. Let B, H be two Hopf algebras with H acting weakly on B and α, β : B → H H be two linear maps verifying suitable conditions. We consider in this paper a twisted Hopf crossed coproduct B ×βα H and derive a necessary and sufficient condition for B # ×βα H with a Hopf smash product structure to be a bialgebra which generalizes in [14, Theorem 1.1] and the well-known Radford biproduct theorem [10, Theorem 1] .展开更多
Over the past two decades,Taiwan region of China’s welfare policies for the elderly have prepared for the arrival of an aged society with the aim of facilitating aging in place(AIP).The Long-Term Care Services Act pa...Over the past two decades,Taiwan region of China’s welfare policies for the elderly have prepared for the arrival of an aged society with the aim of facilitating aging in place(AIP).The Long-Term Care Services Act passed by the Legislative Yuan in 2015 set regulations for long-term care personnel,thereby improving the welfare system for the elderly.The government’s AIP policies focus on providing welfare institutions or service units and do not sufficiently explore key factors such as the relationship between care services and community governance models.Since the basic focus of elderly welfare policies is AIP,it is important to actively empower grassroots community organizations and consider the elderly as important subjects of community participation.AIP policies emphasize providing long-term care and nurturing the elderly until death;such policies will be more proactive and innovative if coproduction is incorporated.This study briefly discusses theories related to coproduction using the case study of Chiayi County’s Dingcaiyian Community Development Association,which links six communities in remote rural villages and establishes a community care network based on the coproduction concept.Follow-up issues related to community care are considered and potential practices and ideas to guide social welfare transformation and community governance in the future are discussed.展开更多
基金Research supported by the National Natural Science Foundation of China(11261063,11471186,11501317)the Natural Foundation of Shandong Province(ZR2018MA012,ZR2016AQ03)
文摘In this paper, the notion of L-R crossed coproduct is introduced as a unified approach for smash coproducts, crossed coproducts and L-R smash coproducts of Hopf algebras.A duality theorem for L-R crossed coproduct is proved.
基金the National Natural Science Foundation of China(10571153),and Postdoctoral Science Foundation of China(2005037713)
文摘This paper introduces the concepts of cylinder coalgebras and cylinder coproducts for quasitriangular bialgebras, and points out that there exists an anti-coalgebra isomorphism （H,△^-）≌ （H,△^-）, where （H, △^-） is the cylinder coproduct, and （H,△^-） is the braided coproduct given by Kass. For any finite dimensional Hopf algebra H, the Drinfel＇d double （D（H）,△^-D（H）） is proved to be the cylinder coproduct. Let （H, H, R） be copaired Hopf algebras. If R ∈ Z（H×H） with inverse R-1 and skew inverse R, then the twisted coalgebra （H^R）^R-1 is constructed via twice twists, whose comultiplication is exactly the cylinder coproduct. Moreover, for any generalized Long dimodule, some solutions for Yang-Baxter equations, four braid pairs and Long equations are constructed via cylinder twists.
基金supported by the USDA, National Institute for Food and Agriculture, Hatch Project HAW02030-H, managed by the College of Tropical Agriculture and Human Resources, University of Hawaii at Manoa
文摘Exploring and evaluating alternative feed ingredients to be used in swine diet is essential due to highly variable cost and limited availability of conventional feed ingredients. Tubers and agro-industrial coproducts could provide the basis for producing affordable swine feed. However, information on the nutritional value of these potential alternative feedstuffs is necessary while considering their use in swine feeding program. Four tubers(purple sweet potato [PSP], okinawan sweet potato, taro and cassava) and 3 coproducts(okara, wheat millrun [WMR] and barley brewers grain [BBG]) were analyzed for their proximate nutrients, starch, fibers and gross energy(GE) content. Two independent in vitro studies were carried out for tubers and coproducts to determine their nutrients digestibility using a 3-step enzymatic assay(which mimics the digestion occurring in the gastrointestinal tract of swine) with 9 replicates of each sample digested in 3 batches equally. All replicate samples were used to determine in vitro dry matter digestibility(IVDDM) while 2 replicates from each batch were used to determine in vitro GE digestibility(IVDGE). Among tubers, CP content was the highest in taro(8.8%) and the lowest in cassava(3.7%), while CP content among coproducts was the highest in okara(22.7%) and the lowest in WMR(11.8%). Ether extract content among tubers ranged from 1.1% to 2.8%. The GE content among tubers, ranged from 4,134 to 4,334 kcal/kg whereas among coproducts it ranged from 4,270 to 4,794 kcal/kg. Among tubers, IVDDM for PSP was significantly higher(86.8%, P < 0.001) than taro(70.3%). Among coproducts, IVDDM of okara(74.1%) was significantly higher(P < 0.05) than BBG(61.3%). In conclusion,both tubers and coproducts can be used as a partial substitute of conventional energy feedstuffs in swine diets as these are rich in GE and other nutrients and are fairly digestible.
基金Project supported partly by the National Natural Science Foundation of China.
文摘Taking completely distributive lattices for objects and complete lattice homomorphisms for morphisms, we get a category Lat (see Refs. [1—3]). There is a primary question about Lat: Does every family of objects have product and coproduct in Lat? We prove that Lat has products and coproducts, and describe the intrinsic relation between
基金Supported by the National Natural Science Foundation of China (Grant No. 10771182)Nantong University Foundation (Grant No. xj06Z009)
文摘In this paper, we show that if H is a finite-dimensional Hopf algebra such that H and H^＊ are semisimple, then gl.dim（A#σH）=gl.dim（A）, where a is a convolution invertible cocycle. We also discuss the relationship of global dimensions between the crossed product A^#σH and the algebra A, where A is coacted by H. Dually, we give a sufficient condition for a finite dimensional coalgebra C and a finite dimensional semisimple Hopf algebra H such that gl.dim（C α H）=gl.dim（C）.
基金Supported by the Foundation of Key Research Program (No. 02021029)the NSF (No. 2004kj352) of Anhui Province, China
文摘Let H be a finite dimensional cosemisimple Hopf algebra, C a left H-comodule coalgebra and let C = C/C（H^＊）^＋ be the quotient coalgebra and the smash coproduct of C and H. It is shown that if C/C is a eosemisimple coextension and C is an injective right C-comodule, then gl. dim（the smash coproduct of C and H） = gl. dim（C） = gl. dim（C）, where gl. dim（C） denotes the global dimension of coalgebra C.
基金the Program for New Century Excellent Talents in University (No.04-0522)The Funds for Doctor of Ludong University (No.LY20062703)
文摘In this paper we mainly give Maschke-type theorems for weak smash coproduct coalgebras which simultaneously show how to deal with the complicated computations of weak smash coproduct coalgebras.
基金China Scholarship Council,Grant/Award Number:202206420091National Natural Science Foundation of China,Grant/Award Numbers:42030810,51674246。
文摘The extraction of coal measure gas has been shifted toward thin gas reservoirs due to the depletion of medium-thick gas reservoirs.The coproduction of coalbed gas,shale gas,and tight sandstone gas(called a multisuperposed gas system)is a key low-cost technology for the enhancement of natural gas production from thin gas reservoirs in coal measure.As an emerging engineering exploitation technology at its early stage of development,gas coproduction confronts various engineering challenges in hydraulic fracturing,bottom-hole pressure regulation,well network arrangement,and extraction sequence.The current understanding of the opportunities and challenges in the gas coproduction from the multisuperposed gas system is not comprehensive enough.In this case,the previous achievements in the field of gas coproduction should be urgently reviewed to provide valuable guidance and recommendations for further development.This review first discusses the regional and spatial distribution characteristics and possible reservoir combinations of gas reservoirs in coal measure.Then,the basic properties of different reservoirs,engineering challenges,and interlayer interference are comparatively analyzed and discussed.The current simulation models for gas coproduction and potential future research directions are further explored.The results indicate that the coupling effects of reservoir heterogeneity,interwell interference,and geological structure for increasing coproduction prediction accuracy should be included in future simulation models for gas coproduction.Careful investigation is required to explore the mechanisms and their further quantifications on the effects of interlayer interference in gas coproduction.The fractal dimension as a scale can play an important role in the characterization of the gas and water transport in different reservoirs.The machine learning methods have tremendous potential to provide accurate and fast predictions for gas coproduction and interlayer interference.
基金support of the National Key Research and Development Program of China(2023YFD2100403)the Agricultural Science and Technology Innovation Program of Chinese Academy of Agricultural Sciences(CAAS-ASTIP-2021-OCRI)+3 种基金the Earmarked Fund for CARS-14the Innovation Group Project of Hubei Province(2023AFA042)the Key Research Projects of Hubei Province(2020BBA045)the Knowledge Innovation Program of Wuhan-Basic Research(3562).
文摘The increased risk of chronic diseases has led to increasing importance of coarse foods in daily life,but the inclusion of new ingredients has a great degree of influence on the structural characteristics and sensory qualities of the food.The effects of five different particle size variations on the physicochemical characteristics,dough,and steamed bread structure of Flaxseed-based milk coproduct(FMC)were investigated.As the particle size decreases,the structure of the dough becomes denser due to an increase in water retention capacity and dissolution capacity,weakening the competition for dough moisture and allowing for an increase in air-holding capacity.The reduction in particle size increased the specific volume of the steamed bread,a decrease in the spread ratio,and an optimization of hardness and elasticity,as well as an increase in consumer acceptance of the FMC steamed bread.However,it is not the smaller the particle size,the higher the quality of steamed bread,appropriate reduction of particle size can improve the quality of steamed bread.In addition,the addition of FMC reduces fat digestion.Therefore,the present study proposes a method to change the particle size of FMC to optimize the quality of the steamed bread and to reduce fat digestibility by adding FMC.
基金The National Natural Science Foundation of China(No.10871042)the Natural Science Foundation of Jiangsu Province(No.BK2009258)
文摘The duality theorem of generalized weak smash coproducts of weak module coalgebras and comodule coalgebras over quantum groupoids is studied.Let H be a weak Hopf algebra,C a left weak H-comodule coalgebra and D a left weak H-module coalgebra.First,a weak generalized smash coproduct C×lH D over quantum groupoids is defined and the module and comodule structures on it are constructed.The weak generalized right smash coproduct C×rL D is similar.Then some isomorph-isms between them are obtained.Secondly,by introducing some concepts of a weak convolution invertible element,a weak co-inner coaction and a strongly relative co-inner coaction,a sufficient condition for C×rH D to be isomorphic to Cv D is obtained,where v∈WC（C,H）and the coaction of H on D is right strongly relative co-inner.Finally,the duality theorem for a generalized smash coproduct over quantum groupoids,（C×lH H）×lH H≌Cv（H×lH H）,is obtained.
基金The National Natural Science Foundation of China(No.11371088,10871042,11571173)the Fundamental Research Funds for the Central Universities(No.KYLX15_0105)
文摘Let （H, a） be a monoidal Hom-bialgebra and （B,p） be a left （H, a）-Hom-comodule coalgebra. The new monoidal Hom-algebra B#y H is constructed with a Hom-twisted product Ba[H] and a. B × H Hom-smash coproduct. Moreover, a sufficient and necessary condition for B#y / to be a monoidal Hom-bialgebra is given. In addition, let （H, a） be a Hom-σ- Hopf algebra with Hom-〇 --antipode SH, and a sufficient condition for this new monoidal Hom-bialgebra B#y H with the antipode S defined by S（b×h）=（1B×SH（a^-1）b（-1）））（SB（b（0））×1H to be a monoidal Hom-Hopf algebra is derived.
基金Supported by the National Key R&D Program of China(2017YFB0602500)the Key Basic Research Items in Application Basic Research Program of Hebei Province,China(16964502D)
文摘Reactive dividing-wall column(RDWC) technology plays a critical role in the energy saving and high efficiency of chemical process.In this article, the process of co-producing ethyl acetate(EA) and n-butyl acetate(BA) with RDWC was studied.BA was not only the product, but also acted as entrainer to remove the water generated by the two esterification reactions.Experiments and simulations of the co-production process were carried out.It was found that the experimental results were in good agreement with the simulation results.Two kinds of RDWC structures(RDWC-FC and RDWC-RS) were proposed, and the co-production process operating parameters of the two types of RDWC were optimized by Aspen Plus respectively.The optimal operating parameters of the RDWC-FC were determined as follows: 0.6 of the reflux ratio of aqueous phase(RR), 0.66 of the vapor split(R_V) and 0.51 of the liquid split(R_L).And the optimal operating parameters of the RDWC-RS were shown as follows: RR was 0.295 and R_V was 0.61.Furthermore, the energy saving analysis of the co-production process was based on the annual output of 10000 tons of EA, compared with the traditional reaction distillation(RD) to prepare EA and BA, the reboiler duty of the RDWC-FC column could save 20.4%, TAC saving 23.6%; RDWC-RS reboiler energy consumption could save 17.0%, TAC 22.2%.
文摘There are many problems in terms of safe coal production and the sound developmentof the coal industry.Accompanying the intensification and increasing efficiencyof coal production and the conducting of mining operations at deeper and more remoteareas of mines,the efficient recovery and utilization of Coal Mine Methane:(CMM) is animportant issue in improving and stabilizing the productivity in the coal mining industry withhigh levels of gas,where the incidence of gas outbursts is increasing.We plan to studyvarious aspects of the development of production technology and characteristics of themine site.This is to establish the technology for highly efficient coproduction coal and gasoperation rate.As a result,the productivity at the coal mine face will increase due to thereduction in gas emissions in the mining face.Effective use of recovered gas can be expectedto reduce global warming by reducing the amount of coal mine methane gas emissionin the air.
基金Supported by the National Natural Science Foundation of China(60873267)the Ningbo Natural Science Foundation of China(2011A610172)K.C.Wang Magna Fund in Ningbo University
文摘Let （C,α） and （H, β） be Hom-bialgebras and ω ： C × H → H × C a linear map. We introduce a Horn-ω-smash coproduct （Cω H, γ） and give necessary and sufficient conditions for （Cω H, γ） to be a Hom-bialgebra. We study the quasi-triangular structures over （Cω H, γ） and show the necessary and sufficient conditions for （Cω H, γ R） to be a quasi-triangular Hom-Hopf algebra. As applications of our results, we introduce the concept of D（H）＊ and construct quasi-triangular structures over D（H）＊.
基金Supported by the National Natural Science Foundation of China（10871170） Supported by the Educational Minister Science Technology Key Foundation of China（108154）
文摘This paper,mainly gives the structure theorem for module coalgebras by a kind of new method,and deletes the condition that the antipode S of the Hopf algebra H is bijective.
基金The NSF(11261063,11171183)of Chinathe Fund(2012ZDXK03)of the Key Disciplines in the General Colleges and Universities of Xinjiang Uygur Autonomous Region+1 种基金the Foundation(2013721043)for Excellent Youth Science and Technology Innovation Talents of Xinjiang Uygur Autonomous Regionthe NSF(ZR2011AM013)of Shandong Province
文摘In this paper, we construct a cocylindrical object associated to two coalgebras and a cotwisted map. It is shown that there exists an isomorphism between the cocyclic object of the crossed coproduet coalgebra induced from two coalgebras with a cotwisted map and the cocyclic object related to the diagonal of the cocylindrical object.
基金supported by the National Key Research and Development Program of China(2023YFD2100403)the Agricultural Science and Technology Innovation Program of Chinese Academy of Agricultural Sciences(CAAS-ASTIP-2021-OCRI)+2 种基金the Earmarked Fund for CARS-14,the Innovation Group Project of Hubei Province(2023AFA042)the Key Research Projects of Hubei Province(2020BBA045)the Knowledge Innovation Program of Wuhan-Basic Research(3562).
文摘Flaxseed milk coproduct(FMC)is a by-product of flaxseed milk.Okara is a by-product of processed soybean products.In this study,we investigated the quality of dough and Chinese steamed bread(CSB)with the addition of FMC and okara.We also examined the in vitro starch digestibility,expected glycemic index(eGI),starch crystallinity,and short-range order structure of CSB.The results showed that FMC and okara decreased the dough fluidity,formed a dense structure,and enhanced the mechanical properties of the dough.FMC and okara increased the hardness,gumminess,and chewiness of the CSB,while decreasing its cohesion and elasticity.The addition of FMC and okara improved the nutrient content of CSB and reduced the eGI from 75.86 to 51.56.FMC and okara altered the multiscale structure of starch,effectively shielding the amylase site of action,and limited the interaction between amylase and starch.This study provides a reference for the high-value utilization of oilseed processing by-products.
文摘In this paper we develope the notions of crossed coproduct of Hopf algebras and study an equivalent theorem of generalized crossed coproduct of H weakly comodule coalgebras and H module coalgebras. The main result is to prove a structure theorem about B cocleft H module coalgebras.
基金Supported by the NNSF of China(10871042)Supported by the Foster Foundation of Henan Normal University(2010PL01)Supported by the Research Fund of PhD(1005)
文摘We develop the Radford's biproduct theorem which plays an important role in giving a negative answer to a conjecture of I Kaplansky. Let B, H be two Hopf algebras with H acting weakly on B and α, β : B → H H be two linear maps verifying suitable conditions. We consider in this paper a twisted Hopf crossed coproduct B ×βα H and derive a necessary and sufficient condition for B # ×βα H with a Hopf smash product structure to be a bialgebra which generalizes in [14, Theorem 1.1] and the well-known Radford biproduct theorem [10, Theorem 1] .
文摘Over the past two decades,Taiwan region of China’s welfare policies for the elderly have prepared for the arrival of an aged society with the aim of facilitating aging in place(AIP).The Long-Term Care Services Act passed by the Legislative Yuan in 2015 set regulations for long-term care personnel,thereby improving the welfare system for the elderly.The government’s AIP policies focus on providing welfare institutions or service units and do not sufficiently explore key factors such as the relationship between care services and community governance models.Since the basic focus of elderly welfare policies is AIP,it is important to actively empower grassroots community organizations and consider the elderly as important subjects of community participation.AIP policies emphasize providing long-term care and nurturing the elderly until death;such policies will be more proactive and innovative if coproduction is incorporated.This study briefly discusses theories related to coproduction using the case study of Chiayi County’s Dingcaiyian Community Development Association,which links six communities in remote rural villages and establishes a community care network based on the coproduction concept.Follow-up issues related to community care are considered and potential practices and ideas to guide social welfare transformation and community governance in the future are discussed.
