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Algebra Logika, 2018, Volume 57, Number 4, Pages 456–475 (Mi al859)  
Theories of relatively free solvable groups with extra predicate

E. I. Timoshenko

Novosibirsk State Technical University, pr. Marksa 20, Novosibirsk, 630092 Russia

Abstract: We study elementary and universal theories of relatively free solvable groups in a group signature expanded by one predicate distinguishing primitive or annihilating systems of elements.

Keywords: solvable group, nilpotent group, elementary theory, universal theory.

Funding Agency Grant Number
Russian Foundation for Basic Research 18-01-00100
Supported by RFBR, project No. 18-01-00100.


DOI: https://doi.org/10.17377/alglog.2018.57.404

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English version:
Algebra and Logic, 2018, 57:4, 295–308

Bibliographic databases:

UDC: 512.5
Received: 27.03.2017
Revised: 16.08.2017

Citation: E. I. Timoshenko, “Theories of relatively free solvable groups with extra predicate”, Algebra Logika, 57:4 (2018), 456–475; Algebra and Logic, 57:4 (2018), 295–308

Citation in format AMSBIB
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\issue 4
\pages 456--475
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