@article {
author = {Abtahi, F. and Khodsiani, B. and Rejali, A.},
title = {Arens regularity of inverse semigroup algebras},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {40},
number = {6},
pages = {1527-1538},
year = {2014},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
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 = {Arens regularity,completely simple semigroup,inverse
semigroup,left (right) group,weakly},
url = {http://bims.iranjournals.ir/article_583.html},
eprint = {http://bims.iranjournals.ir/article_583_ce605ef8523902e55f9e1f2d1945c558.pdf}
}