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Globalization of partial cohomology of groups
Transactions of the American Mathematical Society ( IF 1.2 ) Pub Date : 2020-12-18 , DOI: 10.1090/tran/8272
Mikhailo Dokuchaev , Mykola Khrypchenko , Juan Jacobo Simón

We study the relations between partial and global group cohomology. We show, in particular, that given a unital partial action of a group $G$ on a ring $\mathcal A$, such that $\mathcal A$ is a direct product of indecomposable rings, then any partial $n$-cocycle with values in $\mathcal A$ is globalizable.

中文翻译:

群部分上同调的全球化

我们研究部分群上同调和全局群上同调之间的关系。我们特别证明,给定群 $G$ 在环 $\mathcal A$ 上的整体部分作用,使得 $\mathcal A$ 是不可分解环的直接积,那么任何部分 $n$-cocycle $\mathcal A$ 中的值是可全球化的。
更新日期:2020-12-18
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