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Algebra i logika, 2003, Volume 42, Number 2, Pages 161–181 (Mi al23)  
This article is cited in 2 scientific papers (total in 2 papers)

The Lattice of Quasivarieties of Torsion-Free Metabelian Groups

A. I. Budkin
Full-text PDF (231 kB) Citations (2)
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Abstract: Assume that a quasivariety $\mathcal M$ of groups contains a non-Abelian free metabelian group and a non-Abelian free nilpotent group of class 2. It is proved that the lattice of quasivarieties contained in $\mathcal M$ is infinite and non-modular.
Keywords: quasivariety of torsion-free metabelian groups, lattice, metabelian group, nilpotent group.
Received: 24.04.2001
English version:
Algebra and Logic, 2003, Volume 42, Issue 2, Pages 92–104
DOI: https://doi.org/10.1023/A:1023398222909
Bibliographic databases:
UDC: 512.54.01
Language: Russian
Citation: A. I. Budkin, “The Lattice of Quasivarieties of Torsion-Free Metabelian Groups”, Algebra Logika, 42:2 (2003), 161–181; Algebra and Logic, 42:2 (2003), 92–104
Citation in format AMSBIB
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\by A.~I.~Budkin
\paper The Lattice of Quasivarieties of Torsion-Free Metabelian Groups
\jour Algebra Logika
\yr 2003
\vol 42
\issue 2
\pages 161--181
\mathnet{http://mi.mathnet.ru/al23}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2003627}
\zmath{https://zbmath.org/?q=an:1030.08003}
\transl
\jour Algebra and Logic
\yr 2003
\vol 42
\issue 2
\pages 92--104
\crossref{https://doi.org/10.1023/A:1023398222909}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-23944520755}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
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