On The Relations Between Subgroups of a Group and Submodules of Modules over Group Rings
International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Rhodes, Greece, 19 - 25 September 2016, vol.1863, (Full Text)
- Publication Type: Conference Paper / Full Text
- Volume: 1863
- Doi Number: 10.1063/1.4992457
- City: Rhodes
- Country: Greece
- Akdeniz University Affiliated: Yes
Abstract
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.