On The Relations Between Subgroups of a Group and Submodules of Modules over Group Rings

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: 10.1063/1.4992457
  • Basıldığı Şehir: Rhodes
  • Basıldığı Ülke: Yunanistan
  • Akdeniz Üniversitesi Adresli: Evet

Özet

Let R be a commutative ring and G a finite group. In [1], using a structure on an R module M to make it an RG module, we find some relations between RG submodules and a subgroups. We also prove that for each normal subgroup H of G with an invertible IHI in R, there is a direct summand RG submodule of M.