Type: Article

Arens regularity of Inverse Semigroup Algebras

Journal: Bulletin of the Iranian Mathematical Society (10186301)Year: 2014/12/01Volume: Issue: 6

Abtahi F.^a Khodsiani B. Rejali A.

a :University of Isfahan - IRAN(IR) - Isfahan

Language: English

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 finite, then ℓ1(S) is Arens regular if and only if S is finite. © 2014 Iranian Mathematical Society.

Author Keywords

Arens regularityCompletely simple semigroupInverse semigroupLeft (right) groupWeakly cancellative