on (σ, τ)-module extension banach algebras
نویسندگان
چکیده
let a be a banach algebra and x be a banach a-bimodule. in this paper, we dene a new product on a 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.
منابع مشابه
On (σ, τ)-module extension Banach algebras
Let A be a Banach algebra and X be a Banach A-bimodule. In this paper, we define a new product on $Aoplus X$ 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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متن کاملon module extension banach algebras
let $a$ be a banach algebra and $x$ be a banach $a$-bimodule. then ${mathcal{s}}=a oplus x$, the $l^1$-direct sum of $a$ and $x$ becomes a module extension banach algebra when equipped with the algebra product $(a,x).(a',x')=(aa',ax'+xa').$ in this paper, we investigate biflatness and biprojectivity for these banach algebras. we also discuss on automatic continuity of derivations on ${mathcal{s...
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متن کاملCorrigendum to "On $(sigma, tau)$-module extension Banach algebras"
In this corrigendum, we give a correction of one result in reference [1].
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عنوان ژورنال:
journal of linear and topological algebra (jlta)جلد ۳، شماره ۰۴، صفحات ۱۸۵-۱۹۴
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