On the nilpotency of some modules over group rings

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


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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How to Cite
Kurdachenko, L., O. Pypka, and I. Subbotin. “On the Nilpotency of Some Modules over Group Rings”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 75, no. 10, Oct. 2023, pp. 1387 -01, doi:10.3842/umzh.v75i10.7555.
Research articles