Journal of Siberian Federal University. Mathematics & Physics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


J. Sib. Fed. Univ. Math. Phys.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (121 kB) Citations (2)
References:
PDF
HTML
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 Sn of all semilattices of order n we find semilattices which have maximal (minimal) number of consistent equations. Moreover, we find a semilattice in Sn 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
\Bibitem{She17}
\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}
Linking options:
  • https://www.mathnet.ru/eng/jsfu556
  • https://www.mathnet.ru/eng/jsfu/v10/i3/p298
    • This publication is cited in the following 2 articles:
    1. A N Rybalov, A N Shevlyakov, “Equationally extreme trees”, J. Phys.: Conf. Ser., 1901:1 (2021), 012048  crossref
    2. A. N. Shevlyakov, M. A. Vakhrameev, “On equations over brandt semigroups”, Mechanical Science and Technology Update (MSTU-2018), Journal of Physics Conference Series, 1050, IOP Publishing Ltd, 2018, 012079  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал Сибирского федерального университета. Серия "Математика и физика"
    Statistics & downloads:
    Abstract page:192
    Full-text PDF :64
    References:32
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025