Department of Mathematics, Gonbad Kavous University, P.O. Box 163, Gonbad-e Kavous, Golestan, Iran


Let A be a Banach algebra and X be a Banach A-bimodule. In this paper, we defi ne a new product on $A\oplus X$ and generalize the module extension Banach algebras. We  obtain characterizations of Arens regularity, commutativity, semisimplity, and study the ideal structure and derivations of this new Banach algebra.


Main Subjects

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