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Algebra i logika, 2001, Volume 40, Number 6, Pages 629–650 (Mi al239)  
This article is cited in 6 scientific papers (total in 6 papers)

Quasivarieties with Torsion-Free Nilpotent Groups

A. I. Budkin
Full-text PDF (2034 kB) Citations (6)
Abstract: A condition is specified on which a quasivariety generated by a direct product of two groups with amalgamated central subgroups has an infinite lattice of subquasivarieties. A lattice of quasivarieties is stated finite for a quasivariety which is a union of some covers of Abelian groups in a lattice of quasivarieties of torsion-free solvable groups.
Keywords: quasivariety, lattice of quasivarieties, nilpotent group, Abelian group, torsion-free solvable group.
Received: 04.05.2000
English version:
Algebra and Logic, 2001, Volume 40, Issue 6, Pages 353–364
DOI: https://doi.org/10.1023/A:1013791908143
Bibliographic databases:
UDC: 512.54.01
Language: Russian
Citation: A. I. Budkin, “Quasivarieties with Torsion-Free Nilpotent Groups”, Algebra Logika, 40:6 (2001), 629–650; Algebra and Logic, 40:6 (2001), 353–364
Citation in format AMSBIB
\Bibitem{Bud01}
\by A.~I.~Budkin
\paper Quasivarieties with Torsion-Free Nilpotent Groups
\jour Algebra Logika
\yr 2001
\vol 40
\issue 6
\pages 629--650
\mathnet{http://mi.mathnet.ru/al239}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1918522}
\zmath{https://zbmath.org/?q=an:1020.20016}
\transl
\jour Algebra and Logic
\yr 2001
\vol 40
\issue 6
\pages 353--364
\crossref{https://doi.org/10.1023/A:1013791908143}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    Abstract page:326
    Full-text PDF :119
    References:1
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