On the representation theory of rings in matrix form

Abstract

We study the category of modules for rings of the form where M is a ⋀2-⋀1-bimodule and N is a ⋀1-⋀2-bimodule. We first obtain a structural result and then study special cases of such rings. The goal is to reduce the study of modules over such rings to modules over generalized lower triangular rings. © 1982, University of California, Berkeley. All Rights Reserved.