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First and Second Module Cohomology Groups for Non Commutative Semigroup Algebras

Journal: Sahand Communications in Mathematical Analysis (Vol.17, No. 4)

Publication Date:

Authors : ;

Page : 39-47

Keywords : Clifford semigroup; Weak amenability; Weak module amenability; Cohomology group; Module cohomology group;

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Abstract

‎Let $S$ be a (not necessarily commutative) Clifford semigroup with idempotent set $E$. In this paper, we show that the first (second) Hochschild cohomology group and the first (second) module cohomology group of  semigroup algbera $ell^1(S)$ with coefficients in $ell^infty(S)$ (and also  $ell^1(S)^{(2n-1)}$ for $nin mathbb{N}$) are equal.

Last modified: 2021-11-03 14:29:36