Modules close to the automorphism-invariant and coinvariant-Reference-Cited by-同舟云学术

Modules close to the automorphism-invariant and coinvariant

Published:2019-11-03 Issue:12 Volume:18 Page:1950235
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Quynh Truong Cong¹,Abyzov Adel Nailevich²,Ha Nguyen Thi Thu³,Yildirim Tülay⁴

Affiliation:

1. Department of Mathematics, The University of Danang – University of Science and Education, 459 Ton Duc Thang, Danang City, Vietnam

2. Department of Algebra and Mathematical Logic, Kazan (Volga Region) Federal University, 18 Kremlyovskaya Street, Kazan 420008, Russia

3. Industrial University of Ho Chi Minh City, 12 Nguyen Van Bao, Go Vap District, Ho Chi Minh City, Vietnam

4. Department of Mathematics, Gebze Technical University, 41400 Gebze, Kocaeli, Turkey

Abstract

The aim of this paper is to introduce a general setting where some well-known results on essentially injective modules, automorphism-(co)invariant modules and small projective modules can be obtained by developing a general theory of modules which are (co)invariant under automorphisms of their covers and envelopes.

Funder

the Vietnam National Foundation for Science and Technology Development

the Russian Foundation for Basic Research

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498819502359

Reference24 articles.

1. Almost Projective and Almost Injective Modules

2. Rings and Categories of Modules