On N-Weak Amenability of Semigroup Algebras

Abstract

In this work, we examine the n-weak amenability of some semigroup algebras and the second dual A'' of a Banach algebra A. Let S be a semigroup, for the Banach semigroup algebra l'(S) on S, we show that, in the case where S is right zero semigroup, l'(S) is n-weakly amenable if and only if n is odd.