Characteristic submodules of injective modules over strongly prime rings Page 1 DOI
10.1515/dma-2014-0022 Discrete Math. Appl. 2014; 24 (4):253–256 Askar A. Tuganbaev …

An epimorphic extension of a ring R is a ring S for which there is a homomorphism 11: R~ S
which is both a monomorphism and an epimorphism in the category of rings. This paper is …

Introduction: The concept of pseudo injective modules was introduced by Jain and Singh [1].
Singh [2] showed that any pseudo injective module over a principal ideal domain is quasi …

ON MODULES WHICH FORCE HOMOGENEOUS MAPS TO BE LINEAR 1. Introduction For a
ring R with identity and R-modules V,W let MR(V,W) : Page 1 PROCEEDINGS OF THE …

Introduction. Let A be a finite-dimensional algebra with identity element over a field O. Let M
be a finitely generated left A-module. Then M, when regarded as a left representation space …

Abstract A module RM is semiprime if for each 0≠ m ϵ M there exists ƒ ϵ Hom R (M, R) with
(mƒ) m≠ 0. In Section 1 semiprime artinian modules are seen to be isomorphic to finite …

Throughout the following, R wilI denote an associative ring with unit element 1 and R-: vJod
will denote the category of all unitary left R-modules and let ω: R-• R be an involution (ie w is …

In a celebrated theorem, AW Goldie determined necessary and sufficient conditions that a
ring have a left quotient ring which is semisimple with minimum condition [4]. Our first main …

In [3] an attempt was made at proving the following result:(A) An N-module M over a dg near-
ring is injective if and only if for each right ideal u of N and each N-homomorphism f: u→ M …

In this note all rings are commutative and all modules are unital. Let R be a ring. An R-
module M is called a multiplication module if for every submodule N of M there exists an …