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On Noetherian Modules over Minimax Abelian Groups

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Ukrainian Mathematical Journal Aims and scope

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.

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Authors and Affiliations

  1. Dnepropetrovsk University, Dnepropetrovsk

    A. V. Tushev

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  1. A. V. Tushev
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Tushev, A.V. On Noetherian Modules over Minimax Abelian Groups. Ukrainian Mathematical Journal 54, 1169–1180 (2002). https://doi.org/10.1023/A:1022022610977

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