Authors | Ebrahim Nasrabadi |
---|---|
Journal | Sahand Communications in Mathematical Analysis |
Page number | 39-47 |
Serial number | 17 |
Volume number | 4 |
Paper Type | Full Paper |
Published At | 2020 |
Journal Grade | ISI |
Journal Type | Typographic |
Journal Country | Iran, Islamic Republic Of |
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 $n\in \mathbb{N}$) are equal.
tags: Clifford semigroup, Weak amenability, Weak module amenability, Cohomology group, Module cohomology group