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 ,Access to full-text not allowed by authors
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.