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

محورهای موضوعی : Group theory

D. Ebrahimi Bagha ¹ (Department of Mathematics, Islamic Azad university, Central Tehran Branch, Tehran, Iran)
H. Azaraien ² (Department of Mathematics, Islamic Azad university, Central Tehran Branch, Tehran, Iran)

تاریخ دریافت : 1393/07/10 تاریخ پذیرش : 1394/10/08 تاریخ انتشار : 1393/10/09

کلید واژه: Module amenability, module biprojectivity, inverse semigroup, θ-Lau product of Banach algebras,

چکیده مقاله :

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.

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