COALGEBRA

作品数：39被引量：32H指数：4
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相关领域：理学更多>>
相关作者：王栓宏董丽红赵晓凡王圣祥郭广泉更多>>
相关机构：东南大学河南师范大学南京晓庄学院更多>>
相关期刊：《Communications in Mathematical Research》《Acta Mathematica Sinica,English Series》《Science China Mathematics》《Journal of Mathematical Study》更多>>
相关基金：国家自然科学基金北京市自然科学基金国家教育部博士点基金更多>>
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Fundamentals of quasigroup Hopf group-coalgebras
《Journal of Southeast University(English Edition)》2021年第1期114-118,共5页Zhang Senlin Wang Shuanhong 
The National Natural Science Foundation of China(No.11371088,11571173,11871144);the Natural Science Foundation of Jiangsu Province(No.BK20171348).
A large class of algebras(possibly nonassociative)with group-coalgebraic structures,called quasigroup Hopf group-coalgebras,is introduced and studied.Quasigroup Hopf group-coalgebras provide a unifying framework for t...
关键词：Hopf quasigroup group-coalgebra quasigroup Hopf group-coalgebra convolution algebra 
A note on ribbon elements of Hopf group-coalgebras
《Journal of Southeast University(English Edition)》2015年第2期294-296,共3页赵晓凡 王栓宏 
The National Natural Science Foundation of China(No.11371088);the Natural Science Foundation of Jiangsu Province(No.BK2012736);the Fundamental Research Funds for the Central Universities(No.KYZZ0060)
Let G be a discrete group with a neutral element and H be a quasitriangular Hopf G-coalgebra over a field k. Then the relationship between G-grouplike elements and ribbon elements of H is considered. First, a list of ...
关键词：quasitriangular Hopf G-coalgebra G-grouplikeelement ribbon element Drinfeld element 
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 
Morita context of weak Hopf group coalgebras
《Journal of Southeast University(English Edition)》2012年第3期372-374,共3页郭双建 董丽红 王栓宏 
The Scientific Research Innovation Project for College Graduates in Jiangsu Province(No.CXLX_0094)
The concept of weak Hopf group coalgebras is a natural generalization of the notions of both weak Hopf algebras（quantum groupoids） and Hopf group coalgebras.Let π be a group.The Morita context is considered in the ...
关键词：weak Hopf π-coalgebra Morita context weak π-H-comodule algebra weak smash product 
Oriented quantum coalgebra structure on the tensor product of an oriented quantum coalgebra with itself
《Journal of Southeast University(English Edition)》2009年第2期286-288,共3页马天水 王栓宏 
The National Natural Science Foundation of China(No.10871042)
Oriented quantum algebras （coalgebras） are generalizations of quasitriangular Hopf algebras （coquasitriangular Hopf algebras） and account for regular isotopy invariants of oriented 1-1 tangles, oriented knots and ...
关键词：oriented quantum coalgebra twisted oriented quantum coalgebra knot invariant 
The smash products of entwining structure
《Journal of Southeast University(English Edition)》2003年第3期297-300,共4页郭广泉 
Let k be a commutative ring, C a projective k-coalgebra. The smash productsof entwining structure (A, C)_ψ are discussed. When the map ψ is a bijective, and C is a finitelygenerated k-module, a version of the Ulbric...
关键词：COALGEBRA entwining structure smash product 
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