Let R be a ring with an identity. A ring R will be called a left (right) q*-ring if every R-
homomorphic image of R as a left (right) R-module is quasi-projective, that is, if every cyclic …

It is well known that if every right ideal of a ring R is injective, then R is semi simple Artinian.
The object of this paper is to initiate the study of a class of rings in which each right ideal is …

Semi-perfect <Emphasis Type="Italic">q </Emphasis>-rings Page 1 Math. Ann. 200, 113--121
(1973) O by Springer-Verlag t973 Semi-Perfect q-Rings David A. Hill* Introduction Jain …

The study of q-rings was initiated by Jain, Mohamed and Singh [5]. To recall the definition, a
ring R is said to be a right q-ring if every right ideal of R is quasiinjective as a right R-module …

A ring R of the kind described by the title is called a right q-ring and is characterized by the
property that each of its right ideals is quasi-injective as a right R-module. The principal …

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 …

Throughout this paper we assume that every ring has unity and all modules are unital right
modules. A ring R is called a (right) q-ring if every right ideal of R is quasi-injective [4], In this …

Let R be a principal ideal ring with the descending chain condition. Then it is known that any
R-module 1) is a direct sum of cyclic modules. This was apparently first proved by KOTHE …

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 …

In this paper, all rings R are associative with identity and all modules are unitary right R-
modules unless specified otherwise. If every right ideal of a ring R is an annihilator, then R is …