Weighted Rees matrix semigroup algebras and their applications

摘要

In this work, we will describe the weighted semigroup algebra ?～1(S, ω), where S is a regular Rees matrix semigroup and ω ≥ 1. Then as an application, we investigate the amenability of the semigroup algebra ?～1(S, ω) and its second dual for an arbitrary semigroup S.