Module amenability and module biprojectivity of θ-Lau product of Banach algebras

Journal of Linear and Topological Algebra

مقاله 6، دوره 03، شماره 03، آذر 2014، صفحه 185-196   

نوع مقاله: Research Paper

نویسندگان

D. Ebrahimi Bagha؛ H. Azaraien

Department of Mathematics, Islamic Azad university, Central Tehran Branch, Tehran, Iran

چکیده

In this paper we study the relation between module amenability of $\theta$-Lau product $A×_\theta B$ and that of Banach algebras $A, B$. We also discuss module biprojectivity of $A×\theta B$. As a consequent we will see that for an inverse semigroup $S$, $l^1(S)×_\theta l^1(S)$ is module amenable if and only if $S$ is amenable.

کلیدواژه‌ها

Module amenability؛ module biprojectivity؛ θ-Lau product of Banach algebras؛ inverse semigroup

مراجع

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