On group modules-Reference-Cited by-同舟云学术

On group modules

Published:2019-07-17 Issue:07 Volume:19 Page:2050130
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Tamer Koşan M.¹,Žemlička Jan²

Affiliation:

1. Department of Mathematics, Gazi University, Ankara, Turkey

2. Department of Algebra, Faculty of Mathematics and Physics Sokolovská, Charles University in Prague, 83, 186 75 Praha 8, Czech Republic

Abstract

The paper is focused on questions when some homological and submodule-chain conditions satisfied by a module [Formula: see text] are preserved by the group module [Formula: see text]. Namely, it is proved for a group [Formula: see text] and an [Formula: see text]-module [Formula: see text] that [Formula: see text] is flat if and only if [Formula: see text] is flat, and [Formula: see text] is artinian if and only if [Formula: see text] is artinian and [Formula: see text] is finite, which are two questions raised by Yiqiang Zhou: On Modules Over Group Rings, Noncommutative Rings and Their Applications LENS July 1-4, 2013.

Funder

TUBITAK of Turkey

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498820501303

Reference14 articles.

1. ADS modules

2. On the Group Ring

3. Approximations and Endomorphism Algebras of Modules

4. On Modules Over Group Rings

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. ADS Abelian groups;Journal of Algebra and Its Applications;2023-05-17