On Submodule Characterization and Decomposition of Modules over Group Rings
International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Rhodes, Yunanistan, 19 - 25 Eylül 2016, cilt.1863, (Tam Metin Bildiri)
- 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.