Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40620141201Arens regularity of inverse semigroup algebras15271538583ENF.AbtahiUniversity of IsfahanB.KhodsianiUniversity of IsfahanA.RejaliUniversity of IsfahanJournal Article20130411We 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.http://bims.iranjournals.ir/article_583_ce605ef8523902e55f9e1f2d1945c558.pdf