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Algebra i logika, 2015, Volume 54, Number 1, Pages 3–15
DOI: https://doi.org/10.17377/alglog.2015.54.101 (Mi al671) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Infinite distributivity in the lattice of varieties of $m$-groups

N. V. Bayanovaa, A. V. Zenkovb

a Altai State University, pr. Lenina 61, Barnaul, 656049, Russia
b Altai State Agricultural University, pr. Krasnoarmeiskii 98, Barnaul, 656049, Russia
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DOI: https://doi.org/10.17377/alglog.2015.54.101
Abstract: We construct an example showing that in the lattice of varieties of $m$-groups, the equality $\mathcal V\left(\bigvee_i\mathcal U_i\right)=\bigvee_i(\mathcal{VU}_i)$ does not always hold for an infinite set of indices.
Keywords: infinite distributivity, lattice of varieties of $m$-groups.
Received: 02.02.2014
English version:
Algebra and Logic, 2015, Volume 54, Issue 1, Pages 1–9
DOI: https://doi.org/10.1007/s10469-015-9317-x
Bibliographic databases:
Document Type: Article
UDC: 512.54
Language: Russian
Citation: N. V. Bayanova, A. V. Zenkov, “Infinite distributivity in the lattice of varieties of $m$-groups”, Algebra Logika, 54:1 (2015), 3–15; Algebra and Logic, 54:1 (2015), 1–9
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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    Full-text PDF :45
    References:29
    First page:12
     
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