A module is said to be P–projective if it is a cokernel of a projective preenvelope. We first
obtain a number of characterizations of P–projectivity. Then we study when the exactness of …

In a recent paper, Holston et al. have defined a module M to be N-subprojective if for every
epimorphism g: B→ N and homomorphism f: M→ N, there exists a homomorphism h: M→ B …

In this paper we studied M-small principally projective modules (In short, M-sp-projective
modules) which is the dual notion of M-sp-injective modules and generalization of M …

We first prove that every countably presented module is a pure epimorphic image of a
countably generated pure-projective module, and by using this we show that if every …

Let R be a commutative ring, M be an R-module, and w be the so-called w-operation on R.
Set S w={f∈ R [X]| c (f) w= R}, where c (f) denotes the content of f. Let R {X}= R [X] S w and M …

Recently,]~. DE ROBERT has considered the dual concepts of relative projectivity and
relative injectivity that extend the notions of quasi-projective and quasi-injective modules …

In this paper, we examine the class of K-absolutely pure complexes. These are the
complexes which are right orthogonal in the homotopy category K (R) to the acyclic …

Given modules M and N, M is said to be N-subprojective if for every epimorphism g: B→ N
and homomorphism f: M→ N, there exists a homomorphism h: M→ B such that gh= f. For a …

A module $ M $ is called ECS if every ec-closed submodule of $ M $ is a direct summand. It
was shown that the ECS property lies strictly between CS and P-extending properties. We …

Quasi Principally Injective Modules Page 1 International Journal of Algebra, Vol. 4, 2010, no.
26, 1255 - 1259 Quasi Principally Injective Modules MK Patel, BM Pandeya, AJ Gupta and V …