Rad-injective and Almost-injective Modules and Rings Page 1 Algebra Colloquium c© 2011
AMSS CAS & SUZHOU UNIV Algebra Colloquium 18 : 3 (2011) 411–418 Rad-injective and …

In this paper, we generalize the concept of direct-injective modules to fi nite-direct-injective
modules. Various basic properties of these modules are studied. We show that the class of fi …

In recent years, von Neumann regular rings and V-rings have been extensively studied
(cf.[3J,[4J,[9J,[10],[11]). P-injectivity and pV-rings (which generalize regular rings and V …

S-Injective Modules and Rings SCIRP LOGO ACCESS LOGO Home Journals Books
Conferences News About Us Jobs Advances in Pure Mathematics Vol.04 No.01(2014), Article …

In this paper, the notions of nonnil-injective modules and nonnil-FP-injective modules are
introduced and studied. Especially, we show that a $\phi $-ring $ R $ is an integral domain if …

We say that a ring R is a right RDV-ring if each simple right R-module is RD-injective. In this
paper, we study the notion of RDV-rings which is a non-trivial generalization of V-rings and …

Introduction. Injective modules, specially self-injective rings, occupy a prominent position in
ringtheory and have drawn the attention of many authors since several years (cf. for example …

A class of A-modules is socle-fine if for any A-modules M and N in this class, M and N are
isomorphic if and only if socle of M and socle of N are isomorphic. A ring A is a left V-ring if …

In this paper, the notions of f-injective and f*-injective modules are introduced. Elementary
properties of these modules are given. For instance, a ring R is coherent iff any ultraproduct …

This paper introduces and studies the ϕ-uS-flat (resp., nonnil-uS-injective) modules, which
are a generalization of both ϕ-flat modules and uS-flat modules (resp., both nonnil-injective …