On invariant ideals in group rings of torsion-free minimax nilpotent groups

Abstract

Let $k$ be a field 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 the group ring $kN$.

Keywords

• nilpotent groups
• minimax groups
• group rings
• invariant ideals