On Noetherian Modules over Minimax Abelian Groups
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.
English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 7, pp 1169-1180.
Citation Example: Tushev A. V. On Noetherian Modules over Minimax Abelian Groups // Ukr. Mat. Zh. - 2002. - 54, № 7. - pp. 969-980.