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 notion of t-epi-modules. An R-module M is called t-epi if every
t-closed submodule of M is a homomorphic image of M. Various properties of these modules …

The category of unital modules over a ring with identity element is characterized as a
cocomplete abelian category with a progenerator. More generally, every cocomplete abelian …

Let R be a ring, Let A, C be left R-modules and f: A-+ C an epimorphism. f is called pure if
Hom (M, f): Hom.(M, A)-+ Hom,(M, C) is an epimorphism for all finitely presented left R …

DEFINITION. Let A1 and N be right R-modules. Let Q': R-+ R and f: AI-+ N be maps.(1) f is a
GENERALIZED R-MODULE HOMOMORPHISM with respect to Q'(or briefly Q'R …

A characterization is given of when all kernels (respectively images) of endomorphisms of a
module are direct summands, a necessary condition being that the endomorphism ring itself …

The study of pure-projectivity is accessed from an alternative point of view. Given modules M
and N, M is said to be N-pure-subprojective if for every pure epimorphism g: B → N g: B→ N …

Under study are the dual automorphism-invariant modules and pseudoprojective modules.
Some conditions were found under which the dual automorphism-invariant module over a …

Let M be a right R-module with S= End (MR). Then MR is called pseudo QP-injective (or P
QP-injective for short) if every monomorphism from an M-cyclic submodule of M to M extends …

Let $ R $ be a commutative ring and let $ S $ be an $ R $-algebra. It is well-known that if $ N
$ is an injective $ R $-module, then $\operatorname {Hom} _R (S, N) $ is an injective $ S …