Derivations on Certain Semigroup Algebras

Abstract

In the present paper we give a partially negative answer to a conjecture of Ghahramani, Runde and Willis. We also discuss the derivation problem for both foundation semigroup algebras and Clifford semigroup algebras. In particular, we prove that if S is a topological Clifford semigroup for which Es is finite, then H1(M(S),M(S))={0}.

Keywords

• foundation semigroup
• semigroup algebra
• derivation
• first order cohomology
• clifford semigroup