On the structure of some minimax-antifinitary modules

V.A. Chupordia

doi:10.15330/cmp.7.1.120-132

On the structure of some minimax-antifinitary modules

Authors

V.A. Chupordia Oles Honchar Dnipropetrovsk National University, 72 Gagarin avenue, 49010, Dnipropetrovsk, Ukraine

https://doi.org/10.15330/cmp.7.1.120-132

Keywords:

minimax module; cocentralizer; module over group ring; minimax-antifinitary

$RG$ -module; generalized radical group

Published online: 2015-07-03

Abstract

Let $R$ be a ring and $G$ a group. An $R$ -module $A$ is said to be minimax, if $A$ includes a noetherian submodule $B$ such that $A/B$ is artinian. The author study a $\mathbb{Z}_{p^\infty}G$ -module $A$ such that $A/C_A(H)$ is minimax as a $\mathbb{Z}_{p^\infty}$ -module for every proper not finitely generated subgroup $H$ .