The Krull-Schmidt-Remak-Azumaya Theorem for G-groups

ALTUN ÖZARSLAN M., Facchini A.

5th International Conference Noncommutative Rings and their Applications, Lens, Fransa, 12 - 15 Haziran 2017, cilt.727, ss.25-38 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 727
  • Doi Numarası: 10.1090/conm/727/14622
  • Basıldığı Şehir: Lens
  • Basıldığı Ülke: Fransa
  • Sayfa Sayıları: ss.25-38
  • Hacettepe Üniversitesi Adresli: Evet

Özet

We present some results related to G-groups and their category G-Grp in connection with the category Grp of all groups and the category R-Mod of all left modules over a fixed ring R. In particular, we prove that the Krull-Schmidt-Remak-Azumaya Theorem holds for G-groups, where G is a fixed group, for finite families of G-groups. A key role in this setting is played by the class of completely indecomposable G-groups.