Characterization of ^ϕ-amenability and ^ϕ-module amenability of semigroup algebras

Document Type : Research Paper

Author

Esfarayen University of Technology, Esfarayen, North Khorasan,Iran

Abstract

For every inverse semigroup $S$ with subsemigroup $E$ of idempotents, necessary and sufficient conditions are obtained for the semigroup algebra $\l ^{1}(S)$  to be $\hat{\phi}$-amenable and $\hat{\phi}$-module amenable. Also, we characterize the character amenability of semigroup algebra $l^1(S)$.

Keywords