%0 Journal Article %T Arens regularity of inverse semigroup algebras‎ %J Bulletin of the Iranian Mathematical Society %I Iranian Mathematical Society (IMS) %Z 1017-060X %A Abtahi, F. %A Khodsiani, B. %A Rejali, A. %D 2014 %\ 12/01/2014 %V 40 %N 6 %P 1527-1538 %! Arens regularity of inverse semigroup algebras‎ %K Arens regularity‎ %K ‎completely simple semigroup‎ %K ‎inverse‎ ‎semigroup‎ %K ‎left (right) group‎ %K ‎weakly‎ %R %X ‎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. %U http://bims.iranjournals.ir/article_583_ce605ef8523902e55f9e1f2d1945c558.pdf