On the representation theory of rings in matrix form

Edward Lewis Green

Vol. 100 (1982), No. 1, 123–138

DOI: 10.2140/pjm.1982.100.123

Abstract

We study the category of modules for rings of the form

where M is a Λ₂ − Λ₁-bimodule and N is a Λ₁ − Λ₂-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.

Mathematical Subject Classification

Primary: 16A64, 16A64

Milestones

Received: 11 April 1979

Published: 1 May 1982