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Journal of Siberian Federal University. Mathematics & Physics, 2017, Volume 10, Issue 3, Pages 298–304
DOI: https://doi.org/10.17516/1997-1397-2017-10-3-298-304 (Mi jsfu556) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Equationally extremal semilattices

Artem N. Shevlyakov

Omsk Branch of Sobolev Institute of Mathematics SB RAS, Pevtsova, 13, Omsk, 644099, Omsk State Technical University, Mira, 11, Omsk, 644050, Russia
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DOI: https://doi.org/10.17516/1997-1397-2017-10-3-298-304
Abstract: In the current paper we study extremal semilattices with respect to their equational properties. In the class $\mathbf{S}_n$ of all semilattices of order $n$ we find semilattices which have maximal (minimal) number of consistent equations. Moreover, we find a semilattice in $\mathbf{S}_n$ with maximal sum of numbers of solutions of equations.
Keywords: semilattice, equation, solutions, consistency, universal algebraic geometry.
Funding agency Grant number
Russian Science Foundation 17-11-01117
The author was supported by Russian Science Foundation (project 17-11-01117).
Received: 02.11.2016
Received in revised form: 10.12.2016
Accepted: 20.02.2017
Bibliographic databases:
Document Type: Article
UDC: 512.53
Language: English
Citation: Artem N. Shevlyakov, “Equationally extremal semilattices”, J. Sib. Fed. Univ. Math. Phys., 10:3 (2017), 298–304
Citation in format AMSBIB
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\by Artem~N.~Shevlyakov
\paper Equationally extremal semilattices
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2017
\vol 10
\issue 3
\pages 298--304
\mathnet{http://mi.mathnet.ru/jsfu556}
\crossref{https://doi.org/10.17516/1997-1397-2017-10-3-298-304}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000412015000005}
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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