On Noetherian Modules over Minimax Abelian Groups

• Datum: 2002
• Hauptverfasser: Tushev, A. V., Тушев, А. В.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2002
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4133
• Назва журналу: 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...