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Effect of particle size of Flaxseed-based milk coproduct on the quality of dough and steamed bread
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作者 Jiahui Wang Huojiao Gan +6 位作者 Yan Tang Haichao He Mingkai Sun Yashu Chen Qianchun Deng Fenghong Huang Hu Tang 《Oil Crop Science》 2025年第3期259-269,共11页
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
关键词 Particle size Flaxseed-based milk coproduct Dough properties Steamed bread
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Effects of adding flaxseed milk coproduct and okara on the quality and glycemic response of Chinese steamed bread
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作者 Yan Tang Yaqiong Pei +6 位作者 Jiahui Wang Haichao He Mingkai Sun Yashu Chen He Liu Hu Tang Qianchun Deng 《Oil Crop Science》 CSCD 2024年第4期211-219,共9页
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
关键词 Flaxseed milk coproduct OKARA Chinese steamed bread Expected glycemic index
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Duality theorem for smash coproduct over quantum groupoids
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作者 周璇 刘玲 王栓宏 《Journal of Southeast University(English Edition)》 EI CAS 2010年第4期647-650,共4页
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
关键词 weak Hopf algebras(quantum groupoids) weak generalized smash coproducts weak module coalgebras weak comodule coalgebras weak bimodule coalgebras duality theorem
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Duality theorem for L-R crossed coproducts
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作者 CHEN Quan-guo WANG Ding-guo 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2018年第3期359-378,共20页
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
关键词 Hopf algebra crossed coproduct cleft coextension
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The quasi-triangular structures over Hom-ω-smash coproduct Hopf algebras
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作者 ZHENG Nai-feng 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2016年第2期219-236,共18页
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
关键词 Hom-Hopf algebra Quasi-triangular Hom-Hopf algebra Hom-ω-smash coproduct.
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Constructing the Cocyclic Structures for Crossed Coproduct Coalgebras
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作者 CHEN QUAN-GUOAND WANG DING-GUO Du Xian-kun 《Communications in Mathematical Research》 CSCD 2015年第1期81-88,共8页
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
关键词 Hopf algebra crossed coproduct coalgebra coeyclic object
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Commercial Demonstration Unit for Manufacture of Aromatics from Toluene and Methanol with Coproduction of Low-Carbon Olefins Will Be Set Up
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《China Petroleum Processing & Petrochemical Technology》 SCIE CAS 2014年第1期51-51,共1页
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
关键词 DMTO Commercial Demonstration Unit for Manufacture of Aromatics from Toluene and Methanol with coproduction of Low-Carbon Olefins Will Be Set Up BE
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Super-Shuffle Product and Cut-Box Coproduct on (0,1)-Matrices
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作者 Sifan Song Huilan Li 《Open Journal of Applied Sciences》 2023年第8期1326-1335,共10页
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
关键词 (0 1)-Matrix Super-Shuffle Product Cut-Box coproduct Graded Algebra Graded Coalgebra
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A Novel Process Using Ion Exchange Resins for the Coproduction of Ethyl and Butyl Acetates
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作者 Nydia Ileana Guzman Barrera Cecile Bories +4 位作者 Jerome Peydecastaing Caroline Sablayrolles Emeline Vedrenne Carlos Vaca-Garcia Sophie Thiebaud-Roux 《Green and Sustainable Chemistry》 2018年第3期221-246,共26页
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
关键词 Ion Exchange Resins ESTERIFICATION Ethyl Acetate Butyl Acetate coproduction Life Cycle Assessment
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Opportunities and challenges for gas coproduction from coal measure gas reservoirs with coal-shale-tight sandstone layers:A review
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作者 Wei Liang Jianguo Wang +2 位作者 Chunfai Leung Sianghuat Goh Shuxun Sang 《Deep Underground Science and Engineering》 2025年第1期83-104,共22页
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
关键词 gas coproduction interlayer interference multisuperposed gas system numerical simulation model pore structure
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Cylinder Coalgebras and Cylinder Coproducts for Quasitriangular Hopf Algebras
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作者 张良云 李方 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2006年第4期635-648,共14页
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
关键词 quasitriangular Hopf algebras cylinder coalgebras cylinder coproducts braided coproducts.
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敏捷调适:数字化平台何以赋能共同生产——基于K市“监督一点通”平台的案例研究 被引量:1
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作者 王法硕 张桓朋 《公共管理学报》 北大核心 2025年第3期117-131,173,共16页
数字化平台吸纳和促进各类主体参与共同生产有助于构建共建共治共享的社会治理格局,但其影响机制尚未深入研究。基于K市“监督一点通”平台的个案分析,本研究提出“敏捷调适”概念和框架解释数字化平台赋能共同生产的内在机理。研究发现... 数字化平台吸纳和促进各类主体参与共同生产有助于构建共建共治共享的社会治理格局,但其影响机制尚未深入研究。基于K市“监督一点通”平台的个案分析,本研究提出“敏捷调适”概念和框架解释数字化平台赋能共同生产的内在机理。研究发现:数字化平台建设中公众需求、政府目标与平台功能之间存在张力,K市采取系统融合与宣传转型、分布供给与权威嵌入、专线响应与分级办理、场景构筑与靶向吸纳的调适策略弥合张力,进而促进共同生产水平提升。进一步分析表明,以敏捷调适促进基于数字化平台的共同生产水平提升呈现需求深化、目标细化与功能优化的逻辑。本研究揭示了数字化平台赋能共同生产的动态过程及要素互动演化的基本规律,对激发和促进基于数字化平台的共同生产具有实践意义。 展开更多
关键词 数字化平台 共同生产 敏捷调适 调适策略 要素演化
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中国式现代化进程中农村养老服务的合作生产
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作者 李静 段昆昆 《云南师范大学学报(哲学社会科学版)》 北大核心 2025年第4期121-130,共10页
在人口老龄化“城乡倒置”和养老服务供给“城乡差距”的背景下,如何补齐农村养老服务短板成为中国式现代化征程中亟待解决的重要问题。基于合作生产理论,对X县农村养老服务合作生产的参与主体、形成过程及实践成效进行分析,发现建设区... 在人口老龄化“城乡倒置”和养老服务供给“城乡差距”的背景下,如何补齐农村养老服务短板成为中国式现代化征程中亟待解决的重要问题。基于合作生产理论,对X县农村养老服务合作生产的参与主体、形成过程及实践成效进行分析,发现建设区域性养老服务中心可推动政府部门、养老服务机构和老人及家庭等多元主体参与合作生产,经历规划、交付和反馈等过程提升农村养老服务可及性、推动养老服务主体关系协同和公共价值培育。在大力推进中国式现代化的进程中,为满足农村老年人养老服务需求以最终实现共同富裕目标,须着眼农村养老服务供需实际的情境适配、多元主体合作生产的目标整合及组织协同、持续生产参与的价值培育等方面推动农村养老服务合作生产之实现。 展开更多
关键词 农村养老 养老服务 合作生产 区域性养老服务中心 中国式现代化
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数智技术何以重构社区养老服务合供格局?——基于B社区的个案追踪
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作者 许文文 张牧辛 《甘肃行政学院学报》 2025年第1期69-81,共13页
数智时代,技术给社区养老服务合供格局带来了哪些变化?这些变化又是如何产生?本研究通过搭建“技术-主体-结构-行动”分析框架,对数智技术进入前后的B社区养老服务合供格局进行比较,研究发现:(1)数智技术拓展了社区养老服务合供格局中... 数智时代,技术给社区养老服务合供格局带来了哪些变化?这些变化又是如何产生?本研究通过搭建“技术-主体-结构-行动”分析框架,对数智技术进入前后的B社区养老服务合供格局进行比较,研究发现:(1)数智技术拓展了社区养老服务合供格局中的主体范围,具体表现为数量的扩大化以及类型的多元化;(2)数智技术重塑了社区养老服务合供网络的结构样态,具体表现为合供网络的结构从“单枢纽环状”转向“双枢纽环状”;(3)数智技术提升了社区养老服务合供的行动效率,具体表现为行动逻辑的迭代和行动效果的完善。三重变革现象隐藏着深层机理:(1)数智技术助力居委会转移或规避背书风险,消除了主体网络拓展时效益与风险之间的张力,打破了合供网络的封闭边界;(2)居委会与数智技术之间权能互换,数智技术为居委会赋能并带来资源,居委会赋予数智技术治理空间,使其成为合供网络的“第二枢纽”;(3)数智技术革新社区养老治理视域,打破了社区养老服务供给中居委会的单一治理视域,建构新的信息链条,施行以算法决策为基础的新行动规则。 展开更多
关键词 数智技术 社区养老 合供格局
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合作生产市场化:社区嵌入式服务的实践创新与治理增益——以武汉J社区家政公司为例 被引量:3
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作者 赵益晨 张大维 《学习与实践》 北大核心 2025年第2期112-121,共10页
结合社区嵌入式服务的政策要求,基于社区公共服务合作生产机制框架对合作生产市场化的实践路径进行解析后发现,社区嵌入式服务并不局限于党建引领/居民参与的二元互动,市场力量的资源和效率优势同样可以被充分运用。通过治理结构的再组... 结合社区嵌入式服务的政策要求,基于社区公共服务合作生产机制框架对合作生产市场化的实践路径进行解析后发现,社区嵌入式服务并不局限于党建引领/居民参与的二元互动,市场力量的资源和效率优势同样可以被充分运用。通过治理结构的再组织化、治理过程的强协作化、治理共同体观念的包容化,合作生产市场化路径得以发挥更具正外部性的治理功能,推动公共服务基于国家、社会、市场三方力量的内在整合,在实现社区公共服务长效嵌入的同时,回归共建共治共享的社会治理共同体制度体系。 展开更多
关键词 社区嵌入式服务 合作生产 合作生产市场化 治理共同体
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鄂尔多斯盆地大牛地气田气水同产定容气藏动态储量计算新方法
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作者 赵润冬 王锦昌 +2 位作者 罗懿 周瑞立 周舰 《岩性油气藏》 北大核心 2025年第5期186-192,共7页
针对气水同产定容气藏在应用流动物质平衡方程时,随着水气比增加而计算的动态储量逐渐偏大,影响气井生产潜力评价的问题,综合考虑储层含水饱和度、累计产水量、岩石骨架膨胀的影响,建立了一种定容气藏气水两相物质平衡方程。研究结果表... 针对气水同产定容气藏在应用流动物质平衡方程时,随着水气比增加而计算的动态储量逐渐偏大,影响气井生产潜力评价的问题,综合考虑储层含水饱和度、累计产水量、岩石骨架膨胀的影响,建立了一种定容气藏气水两相物质平衡方程。研究结果表明:①建立的方程为隐函数方程,相应的设计为以动态储量、拟压力采气指数双参数约束的迭代求解方法。②经3口气井压恢试井成果验证,在同样使用井口和井底生产数据条件下,气水两相物质平衡方程计算动态储量的平均绝对误差为5%,流动物质平衡方程计算动态储量的平均绝对误差为111%,由此可见,气水两相物质平衡方程准确性更高。③动态储量随着水气比增大而降低,且水气比越高,分别采用气水两相物质平衡方程、流动物质平衡方程计算的动态储量差异越大。 展开更多
关键词 气水同产定容气藏 致密气藏 动态储量 拟压力采气指数 气水两相物质平衡方程 流动物质平衡方程 大牛地气田 鄂尔多斯盆地
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A duality theorem of crossed coproduct for Hopf algebras 被引量:4
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作者 王栓宏 《Science China Mathematics》 SCIE 1995年第1期1-7,共7页
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).
关键词 HOPF ALGEBRAS H-weak COMODULE COALGEBRA CROSSED coproduct.
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Nutrient profile and digestibility of tubers and agro-industrial coproducts determined using an in vitro model of swine 被引量:5
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作者 Utsav P.Tiwari Rajesh Jha 《Animal Nutrition》 SCIE 2016年第4期357-360,共4页
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
关键词 Alternative feedstuffs coproducts In vitro digestibility SWINE TUBERS
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Cosemisimple Coextensions and Homological Dimension of Smash Coproducts 被引量:2
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作者 Jia Gui ZHU 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2005年第3期563-568,共6页
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
关键词 COALGEBRA Homological dimension Smash coproduct Hopf algebra
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THE GENERALIZED SMASH PRODUCT AND COPRODUCT 被引量:2
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作者 KAN HAIBIN(Department of Computer Science, Fudan University, Shanghai 200433, China.) E-mail: hbkan@fudan.edu.cn 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2000年第3期381-388,共8页
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
关键词 Generalized smash product Generalized coproduct Braiding structure Cobraiding structure
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