On the structure of some modules over generalized soluble groups

Authors: LEONID ANDREEVICH KURDACHENKO, IGOR YAKOV SUBBOTIN, VASILIY ANATOLIEVICH CHUPORDYA

Abstract: Let R be a ring and G a group. An R-module A is said to be Artinian-by-(finite rank) if Tor_R(A) is Artinian and A/ Tor_R(A) has finite R-rank. We study a module A over a group ring RG such that A/C_A(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

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