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, 2018, Volume 11, Issue 1, Pages 97–102
DOI: https://doi.org/10.17516/1997-1397-2018-11-1-97-102 (Mi jsfu598) 		 
On some sufficient condition for the equality of multi-clone and super-clone

Nikolay A. Peryazeva, Ivan K. Sharankhaevb

a Saint Petersburg State Electrotechnical University, Professor Popov, 5, Saint Petersburg, 197376, Russia
b Institute of Mathematics and Informatics, Buryat State University, Smolin, 24a, Ulan-Ude, 670000, Russia
Full-text PDF (94 kB)
References:
PDF
HTML
DOI: https://doi.org/10.17516/1997-1397-2018-11-1-97-102
Abstract: Multi-clones and super-clones are considered in this paper. They are generalizations of clones. To get a super-clone one need to add to a multi-clone the closure condition with respect to solvability of the simplest equation. The condition for identity of multi-clone and super-clone is proved.
Keywords: multi-operation, multi-clone, super-clone, superposition, operation, substitution.
Funding agency
The work of the second author was supported by the grant of the Buryat State University.
Received: 05.04.2017
Received in revised form: 18.07.2017
Accepted: 28.09.2017
Bibliographic databases:
Document Type: Article
UDC: 519.7
Language: English
Citation: Nikolay A. Peryazev, Ivan K. Sharankhaev, “On some sufficient condition for the equality of multi-clone and super-clone”, J. Sib. Fed. Univ. Math. Phys., 11:1 (2018), 97–102
Citation in format AMSBIB
\Bibitem{PerSha18}
\by Nikolay~A.~Peryazev, Ivan~K.~Sharankhaev
\paper On some sufficient condition for the equality of multi-clone and super-clone
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2018
\vol 11
\issue 1
\pages 97--102
\mathnet{http://mi.mathnet.ru/jsfu598}
\crossref{https://doi.org/10.17516/1997-1397-2018-11-1-97-102}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000431379500014}
Linking options:
  • https://www.mathnet.ru/eng/jsfu598
  • https://www.mathnet.ru/eng/jsfu/v11/i1/p97
    • 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:628
    Full-text PDF :121
    References:85
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025