A module is called coneat injective if it is injective with respect to all coneat exact
sequences. The class of such modules is enveloping and falls properly between injectives …

An R-module is called semi-endosimple if it has no proper fully invariant essential
submodules. For a quasi-projective retractable module MR we show that M is finitely …

Thuyet and Wisbauer considered the extending property for the class of (essentially) finitely
generated submodules. A module M is called ef-extending if every closed submodule which …

An R-module F is called closed (neat) projective if, for every closed (neat) submodule L of
every R-module M, every homomorphism from F to M/L lifts to M. In this paper, we study …

NOTES ON FP-PROJECTIVE MODULES AND FP-INJECTIVE MODULES 1. Introduction
Throughout this paper, all rings are associative with id Page 1 February 17, 2006 17:49 …

In this paper we introduce the concept of im-summand coinvariance and im-small
coinvariance; that is, a module $ M $ over a right perfect ring is said to be im-summand (im …

The aim of this paper is to investigate relatively flat envelopes. A necessary and sufficient
condition is given for a relatively-finitely presented module to have a (mono-morphic or epic) …

163 NONZERO INJECTIVE COVERS OF MODULES Richard Belshoff and Jinzhong Xu
Abstract. We show that if R is a ring such that every n Page 1 VOLUME 13, NUMBER 3, FALL …

A module A is called principally self injective if for each principal left ideal L of R and each
homomorphism f: L−→ A with kerf⊇ ann (a) for some a∈ A, there is a homomorphism R−→ …

We call a module essentially retractable if HomR for all essential submodules N of M. For a
right FBN ring R, it is shown that:(i) A non-zero module is retractable (in the sense that …