On some commutative invariants of modules over minimax nilpotent groups

Abstract

In the paper we introduce a finite system of invariants for modules over minimax nilpotent groups which consists of classes of equivalent prime ideals of the group algebra of an Abelian minimax group. In particuly, introduced system of invariants allows to study the structure of a minimax nilpotent group N acted by a group of operators G such that N has injective modules which are stabilized by the group of operators G.