In this paper we assume that every ring R is an associative ring with identity and R is two-
sided artinian. The author has defined almost projective modules and almost injective …

Let R be a ring. A right R− module M is called quasi-principally injective if it is M− principally
inj ective. In this paper, we give some characterizations and properties of principally inj …

QUASI-INJECTIVE AND PSEUDO-INFECTIVE MODULES Page 1 Canad. Math. Bull. Vol. 18
(3), 1975 QUASI-INJECTIVE AND PSEUDO-INFECTIVE MODULES BY SK JAIN AND SURJEET …

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 …

In this paper $ R $ denotes an associative ring with an identity, and all modules are unital
left $ R $-modules. It is shown that the existence of a quasi-projective cover for each module …

An R-module M is called an extending module, and also called CS, if it satisfies the following
full extending property: For any submodule X of M, there exists a direct summand X∗ of M …

A ring R is a left qp-ring if each of its left ideals is quasi-projective as a left R-module in the
sense of Wu and Jans. The following results giving the structure of left qp-rings are obtained …

Weakening the notion of R-projectivity, a right R-module M is called max-projective provided
that each homomorphism f: M→ R/I, where I is any maximal right ideal, factors through the …

Introduction. Let R be a ring (associative with identity) and MR a right R-module (unitary).
MR is~-~-x (Z'x) ff every direct product (sum) of copies of M has property x. C. FAITH …