- Turkish Journal of Mathematics
- Vol: 38 Issue: 1
- On the structure of some modules over generalized soluble groups
On the structure of some modules over generalized soluble groups
Authors : Leonid Andreevich Kurdachenko, Igor Yakov Subbotin, Vasiliy Anatolievich Chupordya
Pages : 52-59
Doi:10.3906/mat-1302-47
View : 10 | Download : 6
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :Let R be a ring and G a group. An R-module A is said to be Artinian-by-(finite rank) if TorR(A) is Artinian and A/ TorR(A) has finite R-rank. We study a module A over a group ring RG such that A/CA(H) is Artinian-by-(finite rank) (as an R-module) for every proper subgroup H.Keywords : Modules, group rings, modules over group rings, generalized soluble groups, radical groups, Artinian modules, generalized radical groups, modules of finite rank