On group modules


Kosan M. T. , Zemlicka J.

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, cilt.19, 2020 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 19 Konu: 7
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1142/s0219498820501303
  • Dergi Adı: JOURNAL OF ALGEBRA AND ITS APPLICATIONS

Özet

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.