On ‎the ‎Second Module Cohomology Groups of Banach Algebras‏

Abstract

Cohomology groups of Banach algebras play a crucial role in understanding their structural properties. In recent years, these groups have been closely linked to fundamental concepts like amenability and its related notions. Building on these connections, researchers have introduced various generalizations, including module cohomology groups and approximate cohomology groups. In this paper, we explore the conditions under which second module cohomology groups of Banach algebras vanish.