On Submodules of Modules over Group Rings

Creative Commons License

ÖNEŞ O., ALKAN M., Uc M.

FILOMAT, cilt.34, sa.2, ss.575-582, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.2298/fil2002575o
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.575-582
  • Anahtar Kelimeler: Group ring, Group Module, Module Filtration, Dimension Subgroup
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, we find some connections between submodules of a module over a group ring RG and subgroups of a group G. Also, we prove that there is a direct connection between conjugate elements of G and RG-submodules of M. Finally, we show that there is a correspondence between the associative powers Delta(i)(M) (G) of Delta(M)(G) and ith dimension subgroups del(Delta(i)(R)(G)) of G over R.