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.
Abtahi, F., Khodsiani, B., & Rejali, A. (2014). Arens regularity of inverse semigroup algebras. Bulletin of the Iranian Mathematical Society, 40(6), 1527-1538.
MLA
Abtahi, F., Khodsiani, B., & Rejali, A. "Arens regularity of inverse semigroup algebras", Bulletin of the Iranian Mathematical Society, 40, 6, 2014, 1527-1538.
HARVARD
Abtahi F., Khodsiani B., Rejali A. (2014). 'Arens regularity of inverse semigroup algebras', Bulletin of the Iranian Mathematical Society, 40(6), pp. 1527-1538.
CHICAGO
F. Abtahi, B. Khodsiani & A. Rejali, "Arens regularity of inverse semigroup algebras," Bulletin of the Iranian Mathematical Society, 40 6 (2014): 1527-1538,
VANCOUVER
Abtahi F., Khodsiani B., Rejali A. Arens regularity of inverse semigroup algebras. BIMS. 2014;40(6):1527-1538.
