Title of article :
Arens regularity of inverse semigroup algebras
Author/Authors :
Abtahi، Fatemeh نويسنده University of Isfahan , , Khodsiani، Bahram نويسنده University of Isfahan , , Rejali، Ali نويسنده University of Isfahan ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2014
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.
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
