Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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


Vestnik Moskov. Univ. Ser. 1. Mat. Mekh.:
Year:
Volume:
Issue:
Page:
Find




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

Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2022, Number 6, Pages 8–14
DOI: https://doi.org/10.55959/MSU0579-9368-1-2022-6-8-14 (Mi vmumm4502) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

Order estimates of linear automata

N. V. Muravev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (339 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.55959/MSU0579-9368-1-2022-6-8-14
Abstract: If input and output alphabets of a Mealy automaton coincide, then one can study the order problem with respect to the superposition operation. The paper provides exact upper bounds on orders of linear automata over finite fields and rationals.
Key words: Mealy automaton, linear automaton, automata semigroup, order of an element.
Received: 30.04.2021
English version:
Moscow University Mathematics Bulletin, 2022, Volume 77, Issue 6, Pages 262–268
DOI: https://doi.org/10.3103/S0027132222060043
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: N. V. Muravev, “Order estimates of linear automata”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 6, 8–14; Moscow University Mathematics Bulletin, 77:6 (2022), 262–268
Citation in format AMSBIB
\Bibitem{Mur22}
\by N.~V.~Muravev
\paper Order estimates of linear automata
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2022
\issue 6
\pages 8--14
\mathnet{http://mi.mathnet.ru/vmumm4502}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-2022-6-8-14}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4562937}
\zmath{https://zbmath.org/?q=an:7676573}
\elib{https://elibrary.ru/item.asp?id=50095737}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2022
\vol 77
\issue 6
\pages 262--268
\crossref{https://doi.org/10.3103/S0027132222060043}
Linking options:
  • https://www.mathnet.ru/eng/vmumm4502
  • https://www.mathnet.ru/eng/vmumm/y2022/i6/p8
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:132
    Full-text PDF :64
    References:22
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025