On the Universal Theories of Generalized Rigid Metabelian Groups

On the Universal Theories of Generalized Rigid Metabelian Groups

We prove that studying the universal theories of generalized rigid metabelian groups reduces to those of the pairs  , where  is a commutative integral domain and  is a nontrivial torsion-free subgroup of the multiplicative group  generating  .

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Veröffentlicht in:Siberian mathematical journal 2020-09, Vol.61 (5), p.878-883
1. Verfasser: Romanovskii, N. S.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Subgroups
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Zusammenfassung:We prove that studying the universal theories of generalized rigid metabelian groups reduces to those of the pairs  , where  is a commutative integral domain and  is a nontrivial torsion-free subgroup of the multiplicative group  generating  .
ISSN:0037-4466
1573-9260
DOI:10.1134/S0037446620050110