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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 1, Pages 73–80 (Mi smj850)  
This article is cited in 7 scientific papers (total in 7 papers)

Covers in the lattice of varieties of $m$-groups

A. V. Zenkov

Altai State Agricultural University
Full-text PDF (208 kB) Citations (7)
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Abstract: We consider some questions on covers in the lattice of varieties of $m$-groups. We prove the existence of a nonabelian cover of the smallest nontrivial variety of $m$-groups. We show that there exists an uncountable set of o-approximable varieties of $m$-groups each of which has continuum many o-approximable covers. In the lattice of o-approximable varieties of $m$-groups we find a variety that has no covers in this variety and no independent basis of identities.
Received: 25.10.2004
English version:
Siberian Mathematical Journal, 2006, Volume 47, Issue 1, Pages 58–63
DOI: https://doi.org/10.1007/s11202-006-0007-8
Bibliographic databases:
UDC: 512.545
Language: Russian
Citation: A. V. Zenkov, “Covers in the lattice of varieties of $m$-groups”, Sibirsk. Mat. Zh., 47:1 (2006), 73–80; Siberian Math. J., 47:1 (2006), 58–63
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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