‎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.

Cannibalism as a topic of interest, both general and anthropological, has seen a revival of concern in the last seven years or so. Primarily responsible for this revival is the controversial stance taken by William Arens in his book, The ManEating Myth: Anthropology and Anthropophagy (1979). Following the publication of this work has been a deluge of articles and books, popular and specialized,...

and similarly for the right topological centre Z(r)(A′′). The algebra A is said to be Arens regular if Z(`)(A′′) = Z(r)(A′′) = A′′ and strongly Arens irregular if Z(`)(A′′) = Z(r)(A′′) = A. For example, every C∗-algebra is Arens regular [2]. There has been a great deal of study of these two algebras, especially in the case where A is the group algebra L(G) for a locally compact group G. Results...

This study tested whether the gender intensification hypothesis applies to relations between multiple domain-specific self-concept facets and selfesteem. This hypothesis predicts gender-stereotypic differences in these relations and assumes they intensify with age. Furthermore, knowledge about gender-related or age-related differences in self-concept–self-esteem relations might provide valuable...

Abstract We shall consider measure algebras associated to locally compact groups, bounded operators between them and properties of the underlying measures. take into account second dual provided with Arens products together tools Gélfand theory.