MODULES SATISFYING EXTENSION CONDITIONS UNDER MONOMORPHISM OF THEIR CLOSED SUBMODULES-Reference-Cited by-同舟云学术

MODULES SATISFYING EXTENSION CONDITIONS UNDER MONOMORPHISM OF THEIR CLOSED SUBMODULES

Published:2012-09 Issue:03 Volume:05 Page:1250041
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Quynh Truong Cong¹,Tin Phan Hong²

Affiliation:

1. Department of Mathematics, DaNang University, 459 Ton Duc Thang, DaNang City, Vietnam

2. Department of Fundamental sciences, Hue Industrial College, 70 Nguyen Hue Street, Hue City, Vietnam

Abstract

A right R-module N is called pseudo M-injective if for any submodule A of M, every monomorphism from A to N, can be extended to a homomorphism from M to N. Module M is called pseudo injective if M is pseudo M-injective. Some characterizations of classes modules and its applications to classical rings are studied. In this paper, we consider some generalizations pseudo injective modules under monomorphism of their closed submodules. Their properties are studied.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557112500416

Reference14 articles.

1. When Is a Self-Injective Semiperfect Ring Quasi-Frobenius?

2. MODULES WITH ANNIHILATOR CONDITIONS

3. A NOTE ON PSEUDO-INJECTIVE MODULES

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