Representations and Derivations of Modules
Janko Bračič · Irish Mathematical Society Bulletin · 2001
In this article we define and study derivations between bimodules.In particular, we define the Gelfand radical of a Banach bimodule and show that, under some reasonable conditions, every derivation between two Banach bimodules over a commutative Banach algebra maps into the Gelfand radical.This is a module version of the famous Singer-Wermer Theorem.