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COMODULE: 作品数：18被引量：9H指数：2; 导出分析报告; 相关领域：理学更多>>; 相关作者：王圣祥董丽红李立斌魏俊潮王栓宏更多>>; 相关机构：东南大学河南师范大学中国科学技术大学扬州大学更多>>; 相关期刊：《Science Bulletin》《中国自行车》《Progress in Natural Science:Materials International》《Frontiers of Mathematics in China》更多>>; 相关基金：国家自然科学基金北京市自然科学基金教育部“优秀青年教师资助计划”广东省自然科学基金更多>>

Gorenstein Hereditary Coalgebras: 《Journal of Mathematical Study》2022年第2期216-228,共13页Yexuan Li Hailou Yao; National Natural Science Foundation of China(Grant No.12071120).; Let C be a coalgebra.We prove that a right C-comodule is an n-cosyzygy if and only if it is a Gorenstein n-cosyzygy.We study the Gorenstein global dimension of coalgebras and the class of Gorenstein hereditary coalgeb...; 关键词：Cosyzygy comodule Gorenstein injective comodule hereditary coalgebra Goren-stein hereditary coalgebra

Crossed products for Hopf group-algebras: 《Journal of Southeast University(English Edition)》2021年第3期339-342,共4页You Miman Lu Daowei Wang Shuanhong; The National Natural Science Foundation of China(No.11871144,11901240).; First,the group crossed product over the Hopf group-algebras is defined,and the necessary and sufficient conditions for the group crossed product to be a group algebra are given.The cleft extension theory of the Hopf ...; 关键词：Hopfπ-algebra cleft extension theorem π-comodule-like algebra group crossed products

Comodule与Brose合作寻求连接性解决方案: 《中国自行车》2017年第7期71-71,共1页魏龙凤; 技术公司Cornodule利用Brose电子驱动系统为电动自行车制造商开发了一个连接性解决方案。Comodule集成Brose驱动系统有助于新应用程序提供更深切的产品体验、持久的客户关系以及高效的产品开发。; 关键词：连接性合作产品开发驱动系统电动自行车应用程序客户关系制造商

On Gorenstein coalgebras: 《Frontiers of Mathematics in China》2016年第4期845-867,共23页Xuerong FU Hailou YAO; The authers sincerely thank the referees and Prof. Dingguo Wang for the careful reading and helpful suggestions in improving the paper. This work was supported by the National Natural Science Foundation of China （Grant No. 11271119） and the Natural Science Foundation of Beijing （Grant No. 1122002）.; We investigate the comodule representation category over the Morita-Takeuchi context coalgebra F and study the Gorensteinness of F. Moreover, we determine explicitly all Gorenstein injective comodules over the Morita-...; 关键词：Gorenstein coalgebra Gorenstein injective comodule Gabriel quiver

The tensor algebras of Yetter-Drinfeld module: 《上海师范大学学报（自然科学版）》2014年第5期523-528,共6页Yanhua Wang; Supported by the National Nature Science Foundation of China（Grant No.10901098 and No.11271239）; The antipode of a Yetter-Drinfeld Hopf algebra is an anti-algebra and anti-coalgebra map is proved. It is also proved that the tensor algebra of Yetter-Drinfeld Hopf module is a Yetter-Drinfeld Hopf algebra.; 关键词：Hopf algebra ANTIPODE COMODULE Yetter-Drinfeld Hopf algebras

Some remarks on cotilting comodules被引量：2: 《Frontiers of Mathematics in China》2014年第3期699-714,共16页Sujuan ZHANG Hailou YAO; Acknowledgements The authors would like to thank the referees for the careful reading and valuable suggestions. This work was supported by National Natural Science Foundation of China （Grant Nos. 11271119, 11201314） and the Natural Science Foundation of Beijing （Grant No. 1122002）.; We study cotilting comodules and f-cotilting comodules and give a description of localization of f-cotilting comodules and classical tilting comodules. First, we introduce T-cotilting injective comodules and their dim...; 关键词：COALGEBRA COMODULE LOCALIZATION

Structure theorem for Hopf group-coalgebra: 《Journal of Southeast University(English Edition)》2013年第1期103-105,共3页董丽红王圣祥王栓宏; The Research and Innovation Project for College Graduates of Jiangsu Province(No.CXLX_0094);the Natural Science Foundation of Chuzhou University(No.2010kj006Z); Let π be a group with a unit 1; H is a Hopf π- coalgebra and A is a right π-H-comodule algebra. First, the notion of a two-sided relative （A, H）-Hopf π-comodule is introduced; then it is obtained that Hom A H （...; 关键词：Hopf group-coalgebra Hopf group-comodule algebra two-sided relative Hopf group-comodule

（＊）-Serial coalgebras被引量：1: 《Frontiers of Mathematics in China》2012年第5期955-970,共16页Hailou YAO Weili FAN Yanru PING; In this paper, we introduce the notion of （＊）-serial coalgebras which is a generalization of serial coalgebras. We investigate the properties of （＊）-serial coalgebras and their comodules, and obtain sufficient a...; 关键词：COALGEBRA biserial comodule （）-serial coalgebra QUIVER

Morita contexts on the Hopf algebroid: 《Science China Mathematics》2005年第7期958-971,共14页YIN Yanmin School of Mathematical Sciences, Peking University, Beijing 100871, China Department of Mathematics, Shandong Institute of Architecture and Engineering, Jinan 250101, China; This work was supported by the Natural Science Foundation of Shandong Province(Grant No.Y2004A01).; We generalize the Morita theory to the Hopf algebroid and give the characterization of the surjectivity of one of the Morita context maps.; 关键词：COMODULE algebra GENERALIZED SMASH product MORITA context.

THE UNIVERSAL DUAL COMODULE OF MODULE IN HOPF ALGEBRAS被引量：1: 《Acta Mathematica Scientia》2003年第3期289-296,共8页郝志峰冯良贵; the Nature Science Foundation of China(19901009),Nature Science oundation of Guangdong Province(970472;000463); The purpose of this paper is to present some dual properties of dual comodule. It turns out that dual comodule has universal property (cf.Theorem 2). Since (( )*,()°) is an adjoint pair (cf.Theorem 3), some nice prop...; 关键词：Universal dual comodule Hopf algebras cotensor product adjoint pair

COMODULE