ARENS REGULARITY OF INVERSE SEMIGROUP ALGEBRAS
Fatemeh Abtahi, B. Khodsiani, Ali Rejali · 2014
Abstract. We present a characterization of Arens regular semi-group algebras ℓ1(S), for a large class of semigroups. Mainly, we show that if the set of idempotents of an inverse semigroup S is nite, then ℓ1(S) is Arens regular if and only if S is nite.