On the Socle of Modules over a Group

Uc M., ALKAN M.

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

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1863
  • Doi Numarası: 10.1063/1.4992458
  • Basıldığı Şehir: Rhodes
  • Basıldığı Ülke: Yunanistan
  • Anahtar Kelimeler: Group Ring, Socle Submodule, Simple Submodule
  • Akdeniz Üniversitesi Adresli: Evet

Özet

Let R be a commutative ring with unity and G a finite group. In [15], the required structure in order for an R-module M to become an RG-module is introduced. Via this structure, our aim is to investigate the relations between the socle of the module M as R-submodule and as RG-submodule.