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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2024, Number 5, Pages 71–73
DOI: https://doi.org/10.55959/MSU0579-9368-1-65-5-9 (Mi vmumm4633) 		 
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Maximal finite orders of linear automata over arbitrary field

N. V. Muravev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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DOI: https://doi.org/10.55959/MSU0579-9368-1-65-5-9
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 present paper provides exact upper bounds on orders of linear automata over any field.
Key words: Mealy automaton, linear automaton, automata semigroup, order of an element.
Received: 06.10.2023
English version:
Moscow University Mathematics Bulletin, 2024, Volume 79, Issue 5, Pages 262–264
DOI: https://doi.org/10.3103/S0027132224700335
Bibliographic databases:
Document Type: Article
UDC: 519.713.2
Language: Russian
Citation: N. V. Muravev, “Maximal finite orders of linear automata over arbitrary field”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024, no. 5, 71–73; Moscow University Mathematics Bulletin, 79:5 (2024), 262–264
Citation in format AMSBIB
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\by N.~V.~Muravev
\paper Maximal finite orders of linear automata over arbitrary field
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2024
\issue 5
\pages 71--73
\mathnet{http://mi.mathnet.ru/vmumm4633}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-65-5-9}
\elib{https://elibrary.ru/item.asp?id=72751206}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2024
\vol 79
\issue 5
\pages 262--264
\crossref{https://doi.org/10.3103/S0027132224700335}
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