1Department of Mathematics, Islamic Azad university, Central Tehran Branch, Tehran, Iran.
2Department of Mathematics, Islamic Azad university, Central Tehran Branch, Tehran, Iran
In this paper we study the relation between module amenability of θ - Lau product A×θB and that of Banach algebras A, B. We also discuss module biprojectivity of A×θB. As a consequent we will see that for an inverse semigroup S, l 1 (S) ×θ l 1 (S) is module amenable if and only if S is amenable.
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