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Algebra i logika, 2012, Volume 51, Number 3, Pages 347–357 (Mi al539)  
Characterizable classes of lattices

Zh. A. Omarov
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Abstract: We look at the concept of a characterizable class of systems. It is proved that there exist characterizable varieties of lattices whose join in the lattice of all lattice varieties is not a characterizable variety. We point out two finitely characterizable lattice quasivarieties, which are not varieties, whose meet in the lattice of lattice quasivarieties is a variety. Also an example of a characterizable locally finite lattice variety is constructed.
Keywords: characterizable class of lattices, variety.
Received: 08.04.2011
Revised: 19.12.2011
English version:
Algebra and Logic, 2012, Volume 51, Issue 3, Pages 232–240
DOI: https://doi.org/10.1007/s10469-012-9186-5
Bibliographic databases:
Document Type: Article
UDC: 512.56
Language: Russian
Citation: Zh. A. Omarov, “Characterizable classes of lattices”, Algebra Logika, 51:3 (2012), 347–357; Algebra and Logic, 51:3 (2012), 232–240
Citation in format AMSBIB
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\jour Algebra and Logic
\yr 2012
\vol 51
\issue 3
\pages 232--240
\crossref{https://doi.org/10.1007/s10469-012-9186-5}
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  • https://www.mathnet.ru/eng/al/v51/i3/p347
    • 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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