On Submodules of Modules over Group Rings

In this paper, we find some connections between submodules of a module over a group ring RG and subgroups of a group G. Also, we prove that there is a direct connection between conjugate elements of G and RG-submodules of M. Finally, we show that there is a correspondence between the associative powers Delta(i)(M) (G) of Delta(M)(G) and ith dimension subgroups del(Delta(i)(R)(G)) of G over R.