Approximate $n-$ideal amenability of module extension Banach algebras
محورهای موضوعی : Functional analysis
1 - Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran
2 - Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran
کلید واژه: amenability, ideal amenability, module extension Banach algebras,
چکیده مقاله :
Let $\mathcal{A}$ be a Banach algebra and $X$ be a Banach$\mathcal{A}-$bimodule. We study the notion of approximate $n-$idealamenability for module extension Banach algebras $\mathcal{A}\oplusX$. First, we describe the structure of ideals of this kind ofalgebras and we present the necessary and sufficient conditions fora module extension Banach algebra to be approximately n-ideallyamenable.
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