If M and N are right R-modules, M is called simple-N-injective if every R-homomorphism γ
from a submodule K of N into M with γ (K) simple extends to N. In this paper, a right R …

A right module A over a ring R is called finitely injective if every diagram of right R-modules
of the form where X is finitely generated and the row is exact, can be imbedded in a …

The notion of" bounding" a one-sided ideal by a two-sided ideal goes back at least to
Jacobson [20, p. 38]. He says a right ideal is bounded if it contains a nonzero two-sided …

A module M is said to satisfy the condition (℘∗) if M is a direct sum of a projective module
and a quasi-continuous module. By Huynh and Rizvi (J. Algebra 223 (2000) 133; …

The purpose of this paper is to further the study of weakly injective and weakly projective
modules as a generalization of injective and projective modules. For a locally qfd module …

This paper investigates the structure of cyclically pure (or C-pure) projective modules. In
particular, it is shown that a ring R is left Noetherian if and only if every C-pure projective left …

In this paper, several characterizations of semi-compact modules are given. Among other
results, we study rings whose semi-compact modules are injective. We introduce the …

A semiperfect one-sided injective ring: Communications in Algebra: Vol 12, No 16 Skip to Main
Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log in …

Absolutely pure modules act in ways similar to injective modules. There are conditions on a
ring which guarantee that the class of injective modules will be covering. In this article, we …

Let R be a ring with Jacobson radical J. A projective left R-module P was called by Mares [3]
a semi-perfect module if every homomorphic image of P has a projective cover, while P is …