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 |H| in R, there is a direct summand RG-submodule of M.
展开▼
机译:让R是换向戒指和G一个有限组。在[1]中,在R-Module M上使用结构来使其成为RG模块,我们在RG-IMODOMELES和子组之间找到了一些关系。我们还证明,对于每个正常的常规子组h,可逆| H |在r中,有一个直接汇总的rg-subsodule的m。
展开▼