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arXiv · 1302.2115

On the structure of some modules over generalized soluble groups

Leonid A. Kurdachenko·Igor Ya. Subbotin·Vasiliy A. Chepurdya
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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. The authors study ZG-modules A such that A/CA(H) is artinian-by-(finite rank) (as a Z-module) for every proper subgroup H.

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Leonid A. Kurdachenko, Igor Ya. Subbotin, Vasiliy A. Chepurdya. 2013-02-08. On the structure of some modules over generalized soluble groups. https://arxiv.org/abs/1302.2115

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