弱entwining结构的cup积
发布时间：2018-12-26 14:53
【摘要】：给出了弱entwining结构上同调的2种cup积,并证明了它们都是求导度为1的分次结合代数,同时证明了弱entwining结构的复形是弱comp代数,利用其结论得到了2种cup积结构的关系,推广了双代数的Gerstenhaber-Schack理论.
[Abstract]:In this paper, we give two kinds of cup products of cohomology of weak entwining structures, and prove that they are graded associative algebras with derivative degree 1. At the same time, we prove that the complex of weak entwining structures is weak comp algebras. The Gerstenhaber-Schack theory of bialgebra is generalized.
【作者单位】： 浙江外国语学院;
【分类号】：O153.3
本文编号：2392279
[Abstract]:In this paper, we give two kinds of cup products of cohomology of weak entwining structures, and prove that they are graded associative algebras with derivative degree 1. At the same time, we prove that the complex of weak entwining structures is weak comp algebras. The Gerstenhaber-Schack theory of bialgebra is generalized.
【作者单位】： 浙江外国语学院;
【分类号】：O153.3
【参考文献】
相关期刊论文 前2条
1 贾玲;李方;;弱entwining结构的上同调[J];中国科学(A辑:数学);2007年01期
2 贾玲;李方;;弱entwined模的Frobenius性质和Maschke型定理[J];数学学报;2007年01期
【共引文献】
相关期刊论文 前4条
1 史美华;;弱entwining结构的cup积[J];浙江大学学报(理学版);2017年02期
2 黎慧;姚海楼;;拟entwining结构的Hochschild上同调[J];中国科学(A辑:数学);2009年12期
3 ;A Note on Jensen’s Inequality for BSDEs[J];Acta Mathematica Sinica(English Series);2009年10期
4 ;A Relationship Between the Conditional g-Evaluation System and the Generator g and Its Applications[J];Acta Mathematica Sinica(English Series);2007年08期
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