CLASSIFYING PROJECTIVE MODULES OVER SOME SEMILOCAL RINGS Page 1 September
12, 2007 10:10 WSPC/171-JAA 00252 Journal of Algebra and Its Applications Vol. 6, No. 5 …

Abstract A left R-module M is said to be fp-injective if, for every monomorphism K→ L with K
and L finitely presented left R-modules, Hom (L, M)→ Hom (K, M) is an epimorphism. A right …

Let R be a ring and M be an R-module. In this paper we investigate modules M such that
every (simple) cosingular R-module is M-projective. We prove that every simple cosingular …

A right module M is called semi-projective if for every epimorphism α from M to a submodule
N of M and a homomorphism β from M to N, there exists a homomorphism γ from M to M with …

Keskin and Harmanci defined the family B (M, X)= ${A {\leq} M|{\exists} Y {\leq} X,{\exists} f
{\in} Hom_R (M, X/Y),\; Ker\; f/A {\ll} M/A} $. And Orhan and Keskin generalized projective …

Let R be a commutative ring with unity and let M be an R-module. In this paper we study
strongly (completely) hollow submodules and quasi-hollow submodules. We investigate the …

The object of the paper is to study the relationship between submodules of projective
module and ideals of endomorphism ring of projective module. In a projective module gM if …

Let R be a ring. A right R-module M is called quasi-principally(or semi-) injective if it is M-
principally inj ective. In this paper, we show:(1) The following are equivalent for a projective …

On projective modules with semilocal endomorphims ring. Page 1 On projective modules with
semilocal endomorphims ring. C. Lomp, M. Nasrutdinov and I. Sakhaev October 21, 2010 …

In this paper we introduce Pure direct projective module which is a generalization of Direct
projective module and dual notion of pure direct injective modules [13]. A module M is pure …