Про нільпотентність деяких модулів над груповими кільцями

L. Kurdachenko; O.  Pypka; I. Subbotin

doi:10.3842/umzh.v75i10.7555

L. Kurdachenko Oles Honchar Dnipropetrovsk National University, Dnipro, Ukraine
O. Pypka Oles Honchar Dnipropetrovsk National University, Dnipro, Ukraine
I. Subbotin National University, Los Angeles, USA

DOI: https://doi.org/10.3842/umzh.v75i10.7555

Keywords: RG-module, G-perfect factor, periodically unlimited Dedekind domain, G-nilpotency

Abstract

UDC 512.553

We study $RG$-modules that do not contain nonzero $G$-perfect factors. In particular, it is shown that if a group $G$ is finite and $R$ is a Dedekind domain with some additional restrictions, then these $RG$-modules are $G$-nilpotent.

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On the nilpotency of some modules over group rings

Abstract

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