# Arens regularity of inverse semigroup algebras‎

Document Type : Research Paper

Authors

University of Isfahan

Abstract

‎We present a characterization of Arens regular semigroup algebras‎
‎$\ell^1(S)$‎, ‎for a large class of semigroups‎. ‎Mainly‎, ‎we show that‎
‎if the set of idempotents of an inverse semigroup $S$ is finite‎,
‎then $\ell^1(S)$ is Arens regular if and only if $S$ is finite‎.

Keywords

Main Subjects

### History

• Receive Date: 11 April 2013
• Revise Date: 17 November 2013
• Accept Date: 18 November 2013