On the Socle of Modules over a Group


Uc M., ALKAN M.

International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Rhodes, Greece, 19 - 25 September 2016, vol.1863 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1863
  • Doi Number: 10.1063/1.4992458
  • City: Rhodes
  • Country: Greece
  • Keywords: Group Ring, Socle Submodule, Simple Submodule
  • Akdeniz University Affiliated: Yes

Abstract

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.