On module extension Banach algebras
نویسندگان
چکیده مقاله:
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 ${mathcal{S}}=Aoplus A$.
منابع مشابه
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عنوان ژورنال
دوره 37 شماره No. 4
صفحات 171- 183
تاریخ انتشار 2011-12-15
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