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Algebra i logika, 2023, Volume 62, Number 4, Pages 504–523
DOI: https://doi.org/10.33048/alglog.2023.62.404 (Mi al2774) 		 
3-Generated lattices close to distributive ones

A. G. Gein, I. D. Maslintsyn, K. E. Maslintsyna, K. V. Selivanov

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.2023.62.404
Abstract: Lattices are considered in which, instead of distributive identities, a ‘gap’ of length at most 1 is allowed between the right and left parts of each distributivity relation. Such lattices are said to be close to distributive ones. Although this property is weaker than distributivity, nevertheless a 3-generated lattice with this property is also finite.
Keywords: weakened condition for distributivity, 3-generated lattice, finiteness of nonmodular lattice.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 02.A03.21.0006
A. G. Gein, I. D. Maslintsyn, K. E. Maslintsyna, and K. V. Selivanov are supported through the Competitiveness Project (Agreement No. 02.A03.21.0006 of 27.08.2013 between the Ministry of Education and Science of the Russian Federation and the Ural Federal University).
Received: 27.01.2022
Revised: 19.07.2024
English version:
Algebra and Logic, 2023, Volume 62, Issue 4, Pages 339–352
DOI: https://doi.org/10.1007/s10469-024-09749-y
Document Type: Article
UDC: 512.565
Language: Russian
Citation: A. G. Gein, I. D. Maslintsyn, K. E. Maslintsyna, K. V. Selivanov, “3-Generated lattices close to distributive ones”, Algebra Logika, 62:4 (2023), 504–523; Algebra and Logic, 62:4 (2023), 339–352
Citation in format AMSBIB
\Bibitem{GeiMasMas23}
\by A.~G.~Gein, I.~D.~Maslintsyn, K.~E.~Maslintsyna, K.~V.~Selivanov
\paper 3-Generated lattices close to distributive ones
\jour Algebra Logika
\yr 2023
\vol 62
\issue 4
\pages 504--523
\mathnet{http://mi.mathnet.ru/al2774}
\transl
\jour Algebra and Logic
\yr 2023
\vol 62
\issue 4
\pages 339--352
\crossref{https://doi.org/10.1007/s10469-024-09749-y}
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