Leonid Andreevich KURDACHENKO, Igor Yakov SUBBOTIN, Vasiliy Anatolievich CHUPORDYA

On the structure of some modules over generalized soluble groups

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.

Anahtar Kelimeler:

Modules, group rings, modules over group rings, generalized soluble groups, radical groups, Artinian modules, generalized radical groups, modules of finite rank

On the structure of some modules over generalized soluble groups

Keywords:

Modules, group rings, modules over group rings, generalized soluble groups, radical groups, Artinian modules, generalized radical groups, modules of finite rank,

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