On Submodule Characterization and Decomposition of Modules over Group Rings

Uc M., ALKAN M.

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

  • Publication Type: Conference Paper / Full Text
  • Volume: 1863
  • Doi Number: 10.1063/1.4992475
  • City: Rhodes
  • Country: Greece
  • Keywords: Group Ring, Group Module, Direct Summand of Group Module
  • Akdeniz University Affiliated: Yes

Abstract

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.