On Noetherian Modules over Minimax Abelian Groups

• Date: 2002
• Main Authors: Tushev, A. V., Тушев, А. В.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2002
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4133
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 gene...