163 NONZERO INJECTIVE COVERS OF MODULES Richard Belshoff and Jinzhong Xu
Abstract. We show that if R is a ring such that every n Page 1 VOLUME 13, NUMBER 3, FALL …

We apply minimal weakly generating sets to study the existence of Add (UR)-covers for a
uniserial module U R. If UR is a uniserial right module over a ring R, then S:= End (UR) has …

It is well known that if R is a ring such that each right R-module Ž. embeds in a free module,
then R is a quasi-Frobenius QF ring. However, if the embedding is restricted to finitely …

Full article: DG-Injective Covers, #-Injective Covers Skip to Main Content Taylor and Francis
Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home 2.All …

As a proper generalization of injective modules in term of supplements, we say that a
module M has the property (SE)(respectively, the property (SSE)) if, whenever M (N, M has a …

INJECTTVE NEAR-RING MODULES OVER Z„ Page 1 PROCEEDINGS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 68, Number 1, January 1978 INJECTTVE NEAR-RING …

Let R be an associative ring with identity. We show that every direct sum of singular injective
right R-modules is injective iff any one of the following equivalent conditions holds. i) Every …

We prove the following results for a ring R.(a) If C is a class of right R-modules closed under
direct summands and isomorphisms, then every right R-module has an epic C-envelope if …

Let $ R $ be a commutative ring and let $ S $ be an $ R $-algebra. It is well-known that if $ N
$ is an injective $ R $-module, then $\operatorname {Hom} _R (S, N) $ is an injective $ S …

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 …