In this thesis, we will study the relations between weakly injective, weakly projective versus
extending and lifting modules and its generalization. Mainly, we study rings over which …

REMARKS ON THE LIFTING PROPERTY OF SIMPLE MODULES Page 1 Okado, M. and
Oshiro, K. Osaka J. Math. 21 (1984), 375-385 REMARKS ON THE LIFTING PROPERTY OF …

A module M is called EPI-RETRACTABLE if every submodule of M is a homomorphic image
of M. Dually, a module M is called co-EPI-RETRACTABLE if it contains a copy of each of its …

Essential Extensions of a Direct Sum of Simple Modules-II Page 1 Modules and Comodules
Trends in Mathematics, 243–246 c© 2008 Birkhäuser Verlag Basel/Switzerland Essential …

Given a right ideal M in a ring T, the idealizer of M in T is the largest subring of T which
contains M as a two-sided ideal. The purpose of this paper is to demonstrate that for certain …

Distributive and Multiplication Modules and Rings Page 1 Mathematical Notes, vol. 75, no. 3,
2004, pp. 391–400. Translated from Matematicheskie Zametki, vol. 75, no. 3, 2004, pp. 425–434 …

On purely extending modules Page 1 Trends in Mathematics, © 1999 BirkhäuserVerlag
BaseJlSwitzeriand On purely extending modules John Clark * Abstract This note considers a …

Let $ R $ be a ring and $ M $ be a left $ R $-module. $ M $ is called generalized $\oplus $-
supplemented if every submodule of $ M $ has a generalized supplement that is a direct …

SERIES SUMMATION OF STABLY FREE MODULES By TY LAMf Page 1 SERIES SUMMATION
OF STABLY FREE MODULES By TY LAMf [Received 18 September 1974] 1. Introduction A …

An R-module M is called epi-retractable if every submodule of MR is a homomorphic image
of M. It is shown that if R is a right perfect ring, then every projective slightly compressible …