抄録< p> A module M is said to be generalized N-projective (or N-dual ojective) if, for any
epimorphism g: N→ X and any homomorphism f: M→ X, there exist decompositions M= M …

A module M is said to be generalized N-projective (or N-dual ojective) if, for any
epimorphism g: N→ X and any homomorphism f: M→ X, there exist decompositions M …

Abstract In [5] and [6], we have introduced a couple of relative generalized epi-projectivities
and given several properties of these projectivities. In this paper, we consider relative …

In 2004, SH Mohamed and BJ Müller defined generalized projectivity (dual ojectivity) as
follows: given modules A and B, A is generalized B-projective (B-dual ojective) if, for any …

1 Preliminaries Page 1 East-West J. of Mathematics: Vol. 10, No 1 (2008) pp. 27-35 On Epi-Projective
Modules Derya Keskin Tütüncü ∗ and Yosuke Kuratomi † ∗ Department of Mathematics …

Let M and N be left R-modules. N is called M-ep-injective if N is essentially M-injective and
pseudoly M-injective. An example is given to show that M-ep-injectivityis a non-trivial …

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 …

In this paper, the" relative" version of semi-projectivity is considered. Let M and N be
modules. N is called M-semi-projective, if any homomorphism from N to an M-cyclic …

Quasi-principally injective modules were studied in [12]. In this note we introduce the
concept dual to quasi-principally injective modules. It is proved that. these modules are …

In this note, we investigate the relationship between almost projective modules and
generalized projective modules. These concepts are useful for the study on the finite direct …