On (σ, τ)-module extension Banach algebras

Journal of Linear and Topological Algebra

مقاله 1، دوره 03، شماره 04، اسفند 2014، صفحه 185-194   

نویسنده

M. Fozouni^*

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

چکیده

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.

کلیدواژه‌ها

Banach algebra؛ module extension؛ Ideal؛ derivation؛ Arens regular

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