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Algebra i logika, 2011, Volume 50, Number 3, Pages 281–302 (Mi al487)  
This article is cited in 1 scientific paper (total in 1 paper)

Finiteness of a set of quasivarieties of torsion-free metabelian groups of axiomatic rank 2

Yu. A. Avtsinova

Barnaul, Russia
Full-text PDF (217 kB) Citations (1)
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Abstract: Let $\mathcal M$ be a quasivariety of all torsion-free groups in which squares of elements are commuting. It is proved that the set of quasivarieties contained in $\mathcal M$ and defined by quasi-identities in two variables is finite.
Keywords: quasivariety, metabelian groups, axiomatic rank.
Received: 29.06.2010
Revised: 13.11.2010
English version:
Algebra and Logic, 2011, Volume 50, Issue 3, Pages 195–210
DOI: https://doi.org/10.1007/s10469-011-9135-8
Bibliographic databases:
Document Type: Article
UDC: 512.54.01
Language: Russian
Citation: Yu. A. Avtsinova, “Finiteness of a set of quasivarieties of torsion-free metabelian groups of axiomatic rank 2”, Algebra Logika, 50:3 (2011), 281–302; Algebra and Logic, 50:3 (2011), 195–210
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
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