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