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

For every inverse semigroup S with subsemigroup E of idempotents, necessary and sufficient conditions are obtained for the semigroup algebra \l ^{۱}(S)  to be \hat{\phi}-amenable and \hat{\phi}-module amenable. Also, we characterize the character amenability of semigroup algebra l^۱(S).

کلیدواژه ها:

Banach modules ، Inverse semigroup ، Semigroup algebras ، Module amenability ، phi-amenability