Compressible modules
by
Sergei Limarenko
Moscow State Univesity

A module is called compressible if it can be embedded in each of its nonzero submodules. Compressible modules were firstly introduced by Zelmanovitz (see [1]). In this work we study some basic properties of compressible modules, their inner structure and rings of endomorphisms. We describe some new objects and construction close to compressible modules. We pay special attention to those rings which are compressible as modules over themselves. The question of classification of compressible modules and rings is also under consideration. The case of graded and super modules and rings is considered in paper [2].

[1] J.Zelmanowitz, Weakly primitive rings, Comm.Algebra, 1981, v.9, N1, 23-45,

[2] Balaba I.N., Limarenko S.V., Mikhalev A.V., Zelenov S.V. Density theorems for graded rings, "Proceedeings of International Algebraic Conference, Moscow, 2000 ", J. Math. Sci., 2002, to appear, 21 p.

Date received: January 18, 2003

Copyright © 2003 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 # cake-20.