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