On the nilpotency of some modules over group rings

Authors

  • 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.

References

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Published

24.10.2023

Issue

Section

Research articles

How to Cite

Kurdachenko, L., et al. “On the Nilpotency of Some Modules over Group Rings”. Ukrains’kyi Matematychnyi Zhurnal, vol. 75, no. 10, Oct. 2023, pp. 1387-01, https://doi.org/10.3842/umzh.v75i10.7555.