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
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
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
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
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
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
On November 29,2013 the Shaanxi Coal Chemicals Technology Engineering Center,Ltd.(SCCTEC),the CNOOC Huizhou Refining and Chemical Company and the SINOPEC Luoyang Engineering Company,Ltd.signed an agreement on cooperat...On November 29,2013 the Shaanxi Coal Chemicals Technology Engineering Center,Ltd.(SCCTEC),the CNOOC Huizhou Refining and Chemical Company and the SINOPEC Luoyang Engineering Company,Ltd.signed an agreement on cooperation in development of展开更多
In 2014, Vargas first defined a super-shuffle product and a cut-box coproduct on permutations. In 2020, Aval, Bergeron and Machacek introduced the super-shuffle product and the cut-box coproduct on labeled simple grap...In 2014, Vargas first defined a super-shuffle product and a cut-box coproduct on permutations. In 2020, Aval, Bergeron and Machacek introduced the super-shuffle product and the cut-box coproduct on labeled simple graphs. In this paper, we generalize the super-shuffle product and the cut-box coproduct from labeled simple graphs to (0,1)-matrices. Then we prove that the vector space spanned by (0,1)-matrices with the super-shuffle product is a graded algebra and with the cut-box coproduct is a graded coalgebra.展开更多
Before proposing an innovative process for the coproduction of ethyl and butyl acetates, the individual syntheses of ethyl acetate and butyl acetate by two different routes were first studied. These syntheses involved...Before proposing an innovative process for the coproduction of ethyl and butyl acetates, the individual syntheses of ethyl acetate and butyl acetate by two different routes were first studied. These syntheses involved the reaction of ethanol or n-butanol with acetic acid or acetic anhydride in the presence of ion exchange resins: Amberlyst 15, Amberlyst 16, Amberlyst 36 and Dowex 50WX8. Kinetic and thermodynamic studies were performed with all resins. The lowest activation energy (Ea) value was obtained with Dowex 50WX8, which was identified as the best-performing resin, able to be reused at least in four runs without regeneration. The presence of water-azeotropes during the synthesis of ethyl acetate makes its purification difficult. A new strategy was adopted here, involving the use of ethanol and acetic anhydride as the starting material. In order to minimize acetic acid as co-product of this reaction, a novel two-step process for the coproduction of ethyl and butyl acetates was developed. The first step involves the production of ethyl acetate and its purification. Butyl acetate was produced in the second step: n-butanol was added to the mixture of acetic acid and the resin remaining after the first-step distillation. This process yields ethyl acetate and butyl acetate at high purity and shows an environmental benefit over the independent syntheses by green metrics calculation and life cycle assessment.展开更多
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
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
A duality theorem for Hopf crossed coproduct is proved. This theorem plays a role similar to that appearing in the work of Koppinen (which generalized the corresponding results of group grraded ring).
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
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
The author discusses the braiding structures of the generalized smash product bialgebra and the cobraiding structures of the generalized smash coproduct bialgebra. It is pointed out that doublecrossed product determin...The author discusses the braiding structures of the generalized smash product bialgebra and the cobraiding structures of the generalized smash coproduct bialgebra. It is pointed out that doublecrossed product determined by a cocycle is the generalized smash product and that doublecocrossed coproduct determined by a weak R-matrix is the generalized smash coproduct.展开更多
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.
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.
文摘On November 29,2013 the Shaanxi Coal Chemicals Technology Engineering Center,Ltd.(SCCTEC),the CNOOC Huizhou Refining and Chemical Company and the SINOPEC Luoyang Engineering Company,Ltd.signed an agreement on cooperation in development of
文摘In 2014, Vargas first defined a super-shuffle product and a cut-box coproduct on permutations. In 2020, Aval, Bergeron and Machacek introduced the super-shuffle product and the cut-box coproduct on labeled simple graphs. In this paper, we generalize the super-shuffle product and the cut-box coproduct from labeled simple graphs to (0,1)-matrices. Then we prove that the vector space spanned by (0,1)-matrices with the super-shuffle product is a graded algebra and with the cut-box coproduct is a graded coalgebra.
基金supported by the European Union’s Seventh Framework Program for research,technological development and demonstration(FP7/2007-2013)[Grant Agreement No.605215]CONACyT for providing funding through PhD scholarship no.383910.
文摘Before proposing an innovative process for the coproduction of ethyl and butyl acetates, the individual syntheses of ethyl acetate and butyl acetate by two different routes were first studied. These syntheses involved the reaction of ethanol or n-butanol with acetic acid or acetic anhydride in the presence of ion exchange resins: Amberlyst 15, Amberlyst 16, Amberlyst 36 and Dowex 50WX8. Kinetic and thermodynamic studies were performed with all resins. The lowest activation energy (Ea) value was obtained with Dowex 50WX8, which was identified as the best-performing resin, able to be reused at least in four runs without regeneration. The presence of water-azeotropes during the synthesis of ethyl acetate makes its purification difficult. A new strategy was adopted here, involving the use of ethanol and acetic anhydride as the starting material. In order to minimize acetic acid as co-product of this reaction, a novel two-step process for the coproduction of ethyl and butyl acetates was developed. The first step involves the production of ethyl acetate and its purification. Butyl acetate was produced in the second step: n-butanol was added to the mixture of acetic acid and the resin remaining after the first-step distillation. This process yields ethyl acetate and butyl acetate at high purity and shows an environmental benefit over the independent syntheses by green metrics calculation and life cycle assessment.
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.
文摘A duality theorem for Hopf crossed coproduct is proved. This theorem plays a role similar to that appearing in the work of Koppinen (which generalized the corresponding results of group grraded ring).
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.
文摘The author discusses the braiding structures of the generalized smash product bialgebra and the cobraiding structures of the generalized smash coproduct bialgebra. It is pointed out that doublecrossed product determined by a cocycle is the generalized smash product and that doublecocrossed coproduct determined by a weak R-matrix is the generalized smash coproduct.