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Fundamentalnaya i Prikladnaya Matematika, 2014, Volume 19, Issue 2, Pages 219–226 (Mi fpm1586)  
The structure of finite distributive lattices

V. D. Shmatkov

Ryazan State Radio Engineering University, Ryazan, Russia
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Abstract: This paper is devoted to the structure that describes the construction of finite distributive lattices. From the viewpoint of application, we consider algorithms of construction and enumeration of distributive lattices and partially ordered sets for finite distributive lattices: a formula for finding the maximum anti-chain with respect to nonintersection is given, it is shown that elements of the lattice can be split into pairs according to comparison, we consider the point of the maximum number of elements in the lattices, and the structure of lattice congruence is described.
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 213, Issue 2, Pages 276–280
DOI: https://doi.org/10.1007/s10958-016-2717-1
Bibliographic databases:
Document Type: Article
UDC: 512.562
Language: Russian
Citation: V. D. Shmatkov, “The structure of finite distributive lattices”, Fundam. Prikl. Mat., 19:2 (2014), 219–226; J. Math. Sci., 213:2 (2016), 276–280
Citation in format AMSBIB
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\by V.~D.~Shmatkov
\paper The structure of finite distributive lattices
\jour Fundam. Prikl. Mat.
\yr 2014
\vol 19
\issue 2
\pages 219--226
\mathnet{http://mi.mathnet.ru/fpm1586}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3431924}
\transl
\jour J. Math. Sci.
\yr 2016
\vol 213
\issue 2
\pages 276--280
\crossref{https://doi.org/10.1007/s10958-016-2717-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84954472588}
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