On group modules
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, cilt.19, sa.7, 2020 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 19 Sayı: 7
- Basım Tarihi: 2020
- Doi Numarası: 10.1142/s0219498820501303
- Dergi Adı: JOURNAL OF ALGEBRA AND ITS APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
- Gazi Üniversitesi Adresli: Evet
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.