Weakly primitive rings
by
Sergei Limarenko
Moscow State University, Dep.of Mech.and Math., Higher Algebra

The difinition of weakly primitive ring as a ring having faithfull critically compressible module was firstly introduced by J.Zelmanovitz. S.A. Amitsur described some properties of a ring with nonsingular uniform ideal using Morita context. In different papers was shown that, in fact, all these objects are closely connected. The main purpose of this work is to summarize basic results concerning this theme, to present some new ideas and to show relationship between theory of weakly primitive rings and classical theory of primitive rings (including minimal one-sided ideals).

Date received: February 7, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caht-21.