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Smash product algebras over twisted dimodule algebras 被引量:1
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作者 CHEN Xiao-yuan 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2008年第3期366-370,共5页
Results of the research for smash product algebras over dimodule algebras are generalized to the more general twisted dimodule algebras.
关键词 Hopf algebra twisted dimodule algebra
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D-equations and (H, A)-dimodules
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作者 何济位 《Northeastern Mathematical Journal》 CSCD 2003年第3期224-230,共7页
We present a kind of solutions of D-equations in terms of what we have called a D-pair in this paper. Some properties of dimodules associated with D-pairs are discussed as well.
关键词 bialgebra D-equation dimodule
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Long Bialgebras,Dimodule Algebras and Quantum Yang-Baxter Modules over Long Bialgebras 被引量:12
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作者 Liang Yun ZHANG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2006年第4期1261-1270,共10页
This paper gives a sufficient and necessary condition for a bialgebra to be a Long bialgebra, and proves a braided product to be a Long bialgebra under some conditions. It also gives a direct sum decomposition of quan... This paper gives a sufficient and necessary condition for a bialgebra to be a Long bialgebra, and proves a braided product to be a Long bialgebra under some conditions. It also gives a direct sum decomposition of quantum Yang-Baxter modules over Long bialgebras. 展开更多
关键词 Long bialgebra dimodule algebra braided product quantum Yang-Baxter module
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Quantization of Dimodule Algebras and Quantum Yang-Baxter Module Algebras 被引量:2
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作者 Xue Xia CAO Liang Yun ZHANG 《Journal of Mathematical Research and Exposition》 CSCD 2010年第4期725-733,共9页
In this paper, we mainly construct quantization of dimodule algebras and quantum Yang-Baxter H-module algebras, and give some results of smash products and braided products.
关键词 Long bialgebras dimodule algebras quantum Yang-Baxter module algebras smash products braided products.
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群分次Hopf代数的第一基本定理与Long dimodules
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作者 史国栋 《山东大学学报(理学版)》 CAS CSCD 北大核心 2020年第4期25-31,共7页
使用Galios映射刻画群分次Hopf代数,给出群分次Hopf代数的一种新定义;在群分次Hopf代数上建立了Long dimodule结构并由此得到了D-方程的一类解。
关键词 群分次Hopf代数 Galios映射 第一基本定理 LONG dimodules D-方程
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