The concept of weak relative-injectivity of modules was introduced originally in [10], where it
is shown that a semiperfect ring R is such that every cyclic right module is embeddable …

Let R be a ring with identity 1. We denote the category of unital right (respectively left) R-
modules by 'U&m). MR will signify ME YJl&M E $ tJl). We will be concerned with certain …

In this paper we shall generalize the notion of semiperfect modules in terms of preradicals,
and show that almost all properties of semiperfect modules are preserved under this …

A moduleMis known to be a CS-module (or an extending module) if every complement
submodule ofMis a direct summand. It is shown that (i) a simple ringRmust be right …

R -PROJECTIVE MODULES OVER A SEMIPERFECT RING Page 1 Canad. Math. Bull. Vol. 24
(3), 1981 R -PROJECTIVE MODULES OVER A SEMIPERFECT RING BY RD KETKAR AND N …

1. Introduction. Let R be a ring (associative and with identity). It is easy to see that every left
ideal of R is the (left) annihilator of a finite subset of R if and only if every cyclic left R-module …

A ringRis called right mininjective if every isomorphism between simple right ideals is given
by left multiplication by an element ofR. These rings are shown to be Morita invariant. IfRis …

Tachikawa showed that a left perfect ring R is an injective cogenerator in the category of all
right R-modules iff there holds:(right FPF) every finitely generated faithful right module …

Introduction. Let A be a ring possessing a unit element I and satisfying the minimum
condition on right (resp. left) ideals, A tight (resp. left) A-module M will be said to be quasi …

Semi-perfect and perfect modules were introduced by Mares [3] as generalizations of
Bass'[2] notions of semi-perfect and perfect rings. She developed a substantial structure …