On Submodule Characterization and Decomposition of Modules over Group Rings

Uc M., ALKAN M.

International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Rhodes, Yunanistan, 19 - 25 Eylül 2016, cilt.1863, (Tam Metin Bildiri) identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1863
  • Doi Numarası: 10.1063/1.4992475
  • Basıldığı Şehir: Rhodes
  • Basıldığı Ülke: Yunanistan
  • Anahtar Kelimeler: Group Ring, Group Module, Direct Summand of Group Module
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, for a commutative unity ring R and a finite group G, we characterize some submodule properties of RG-module MG introduced in [8]. Our aim is to decompose MG into RG-submodules by defining an idempotent in End(RG)MG and to verify the relation between the quotient of group module and the quotient of related module.