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Algebra i logika, 2018, Volume 57, Number 6, Pages 619–638
DOI: https://doi.org/10.33048/alglog.2018.57.601 (Mi al871) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Free 3-Generated Lattices with Standard Element Among Generators

A. G. Gein, M. P. Shushpanov

Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
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DOI: https://doi.org/10.33048/alglog.2018.57.601
Abstract: We consider 3-generated lattices among generators of which there are elements of distributive and modular types, and one of the generators is necessarily standard. For each triple of such generators, we answer the question whether a lattice generated by that triple is finite.
Keywords: lattice, free lattice, standard element, distributive element, left modular element, right modular element.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.А03.21.0006
Received: 21.05.2017
English version:
Algebra and Logic, 2019, Volume 57, Issue 6, Pages 399–413
DOI: https://doi.org/10.1007/s10469-019-09513-7
Bibliographic databases:
Document Type: Article
UDC: 512.565
Language: Russian
Citation: A. G. Gein, M. P. Shushpanov, “Free 3-Generated Lattices with Standard Element Among Generators”, Algebra Logika, 57:6 (2018), 619–638; Algebra and Logic, 57:6 (2019), 399–413
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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