On homological properties of some module derivations on Banach algebras

Abstract

In recent years, lots of papers have been published on module amenability. In this paper, our main aim is to study the homological properties of various module derivations and prove some results about module amenability. So this paper continous a line investigation in [3], [4] for Banach algebras.

Keywords

• Banach modules
• bimodules
• module derivation
• homological functor
• inverse semigroup