چکیده مقاله :
Let A be a Banach algebra and X be a Banach A-bimodule. In this paper, we define 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.
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