Honam Mathematical Journal, Volume (1), No (2), Year (2021-6) , Pages (209-219)

Title : ( A remark on weak module-amenability in Banach algebras )

Authors: Seyyed Alireza Kamel Mirmostafaee , Omid Pourbahri Rahpeyma ,

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Abstract

Abstract. We define a new concept of module amenability which is compatible with original definition of amenability. For a module dual algebra A, we will show that if every module derivation D : A∗∗ → JA∗∗ ⊥ is inner then A is weak module amenable. Moreover, we will prove that under certain conditions, weak module amenability of A∗∗ implies weak module amenability of A.

Keywords

, Amenability, module amenability.