Pure-injective and RD-injective R-modules over domains R have been investigated by many
authors. We introduce another class of R-modules, called weak-injective modules, which …

The notion of simple-direct-injective modules which are a generalization of injective
modules unifies $ C2 $ and $ C3 $-modules. In the present paper, we introduce the notion of …

Keskin and Harmanci defined the family B (M, X)= ${A {\leq} M|{\exists} Y {\leq} X,{\exists} f
{\in} Hom_R (M, X/Y),\; Ker\; f/A {\ll} M/A} $. And Orhan and Keskin generalized projective …

Flat and Projective Character Modules Page 1 PROCEEDINGS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 81, Number 2, February 1981 FLAT AND PROJECTIVE …

New Characterization of σ-Injective Modules Page 1 PROCEEDINGS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 136, Number 10, October 2008, Pages 3461-3466 S …

Endomorphism rings and the category of finitely generated projective modules Page 1
COMMLTNICATIONS IN ALGEBRA, 28(8), 3837-3 852 (2000) Endomorphism rings and the …

We reobtain and often refine prior criteria due to Kaplansky, McGovern, Roitman, Shchedryk,
Wiegand, and Zabavsky--Bilavska and obtain new criteria for a Hermite ring to be an\textsl …

Recently, in a series of papers “simple” versions of direct-injective and direct-projective
modules have been investigated. These modules are termed as “simple-direct-injective” and …

Injective, pure-injective, and fp-injective modules are well known to provide for
approximations in the category Mod-R for an arbitrary ring R. We prove that this fails for …

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 …