On the nilpotency of some modules over group rings

• Datum: 2023
• Hauptverfasser: Kurdachenko, L., Pypka, O., Subbotin, I., Курдаченко, Леонід, Пипка, Олександр, Субботін, Ігор
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2023
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/7555
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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.