Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201030320141230Module amenability and module biprojectivity of θ-Lau product of Banach algebras185196516390END.Ebrahimi BaghaDepartment of Mathematics, Islamic Azad university, Central Tehran Branch, Tehran, IranH.AzaraienDepartment of Mathematics, Islamic Azad university,
Central Tehran Branch, Tehran, IranJournal Article20141002In 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.http://jlta.iauctb.ac.ir/article_516390_ee89500a6e1521d7040b915580bf0641.pdf