On (σ, τ)-module extension Banach algebras
الموضوعات :
M. Fozouni
1
(Department of Mathematics, Gonbad Kavous University, P.O. Box 163, Gonbad-e Kavous, Golestan, Iran)
الکلمات المفتاحية: derivation, Banach algebra, module extension, Ideal, Arens regular,
ملخص المقالة :
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.