On invariant ideals in crossed products of torsion-free minimax nilpotent groups

A.V. Tushev

doi:10.15421/242432

On invariant ideals in crossed products of torsion-free minimax nilpotent groups

A.V. Tushev (Justus Liebig University Giessen, Oles Honchar Dnipro National University), https://orcid.org/0000-0001-5219-1986

Abstract

Let $$$R$$$ be a finitely generated commutative domain and let $$$N$$$ be a nilpotent minimax torsion-free group acted by a solvable group of operators $$$G$$$ of finite rank. In the presented paper we study properties of some types of $$$G$$$-invariant ideals of a crossed product $$$R * N$$$.

Keywords

nilpotent groups; minimax groups; crossed products; invariant ideals

MSC 2020

Pri 16S34, Sec 20C07, 11R27

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References

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