I In Banach algebras, the group algebra L(G) is Arens regular if and only if G is finite. In this paper, the researcher has obtained a hypergroup structure (in the sense of Dunkl) whose measure algebra has regular multiplication. The most interesting result was that if L(X) is Arens regular then the convolution is Arens regular as a bilinear map. The condition obtained gives regularity of multiplication in the Hypergroup, which X is not finite.

Keywords: arens product, hypergroup, measure, Algebra, second dual

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