On Noetherian Modules over Minimax Abelian Groups |
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Authors: | Tushev A. V. |
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Affiliation: | (1) Dnepropetrovsk University, Dnepropetrovsk |
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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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