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{ϕ}

-amenable and

\hat{ϕ}

-module amenable. Also, we characterize the character amenability of semigroup algebra

l^{1} (S)

Keywords