On the nilpotency of some modules over group rings
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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| Date: | 2023 |
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| Main Authors: | , , , , , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2023
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7555 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |