On Noetherian Modules over Minimax Abelian Groups

Authors

  • A. V. Tushev

Abstract

We consider modules over minimax Abelian groups. We prove that if A is an Abelian minimax subgroup of the multiplicative group of a field k and if the subring K of the field k generated by the subgroup A is Noetherian, then the subgroup A is the direct product of a periodic group and a finitely generated group.

Published

25.07.2002

Issue

Section

Research articles

How to Cite

Tushev, A. V. “On Noetherian Modules over Minimax Abelian Groups”. Ukrains’kyi Matematychnyi Zhurnal, vol. 54, no. 7, July 2002, pp. 969-80, https://umj.imath.kiev.ua/index.php/umj/article/view/4133.