Prikladnaya Diskretnaya Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Prikl. Diskr. Mat.:
Year:
Volume:
Issue:
Page:
Find






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


Prikladnaya Diskretnaya Matematika, 2017, Number 38, Pages 49–56
DOI: https://doi.org/10.17223/20710410/38/3
(Mi pdm605)
 

Theoretical Backgrounds of Applied Discrete Mathematics

On irreducible algebraic sets over linearly ordered semilattices II

A. N. Shevlyakovab

a Sobolev Institute of Mathematics, Omsk, Russia
b Omsk State Technical University, Omsk, Russia
References:
Abstract: Equations over finite linearly ordered semilattices are studied. It is assumed that the order of a semilattice is not less than the number of variables in an equation. For any equation $t(X)=s(X)$, we find irreducible components of its solution set. We also compute the average number $\overline{\mathrm{Irr}}(n)$ of irreducible components for all equations in $n$ variables. It turns out that $\overline{\mathrm{Irr}}(n)$ and the function $\frac49n!$ are asymptotically equivalent.
Keywords: irreducible components, algebraic sets, semilattices.
Funding agency Grant number
Russian Science Foundation 17-11-01117
The author was supported by the RSF-grant 17-11-01117.
Bibliographic databases:
Document Type: Article
UDC: 512.53
Language: English
Citation: A. N. Shevlyakov, “On irreducible algebraic sets over linearly ordered semilattices II”, Prikl. Diskr. Mat., 2017, no. 38, 49–56
Citation in format AMSBIB
\Bibitem{She17}
\by A.~N.~Shevlyakov
\paper On irreducible algebraic sets over linearly ordered semilattices~II
\jour Prikl. Diskr. Mat.
\yr 2017
\issue 38
\pages 49--56
\mathnet{http://mi.mathnet.ru/pdm605}
\crossref{https://doi.org/10.17223/20710410/38/3}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000422797800003}
Linking options:
  • https://www.mathnet.ru/eng/pdm605
  • https://www.mathnet.ru/eng/pdm/y2017/i4/p49
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Прикладная дискретная математика
    Statistics & downloads:
    Abstract page:124
    Full-text PDF :47
    References:31
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024