On group modules

Kosan M. T., Zemlicka J.

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, vol.19, no.7, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 7
  • Publication Date: 2020
  • Doi Number: 10.1142/s0219498820501303
  • Journal Name: JOURNAL OF ALGEBRA AND ITS APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Gazi University Affiliated: Yes

Abstract

The paper is focused on questions when some homological and submodule-chain conditions satisfied by a module M are preserved by the group module MG. Namely, it is proved for a group G and an R-module M that MG(RG) is flat if and only if M-R is flat, and MG(RG) is artinian if and only if M-R is artinian and G 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.