Ο-算子的二次上同调
Secondary Cohomology of Ο-Operators
DOI: 10.12677/AAM.2023.129386, PDF,   
作者: 黄丹莉：浙江师范大学数学科学学院，浙江 金华
关键词: 二次上同调；Ο-算子；Secondary Cohomology； Ο-Oparators
摘要: 本文主要介绍三元组(A,B,ε)上的关于双A-模M的Ο-算子的二次上同调，并进一步利用Ο-算子给出M的结合代数结构及对应三元组(M,B,ε)的二次Hochschild上同调与Ο-算子二次Hochschild上同调之间的关系。
Abstract: This paper mainly introduced the secondary cohomology of Ο-operators on (A,B,ε) with respect to the A-bimodule M. The Ο-operator is further used to derive the associative algebraic structure on M and the relation between the secondary Hochschild cohomology of corresponding triple (M,B,ε) and the secondary Hochschild cohomology of Ο-operators.
文章引用：黄丹莉. Ο-算子的二次上同调[J]. 应用数学进展, 2023, 12(9): 3945-3953. https://doi.org/10.12677/AAM.2023.129386

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