Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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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) 		 
Mathematics

Order estimates of linear automata

N. V. Muravev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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DOI: https://doi.org/10.55959/MSU0579-9368-1-2022-6-8-14
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
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\transl
\jour Moscow University Mathematics Bulletin
\yr 2022
\vol 77
\issue 6
\pages 262--268
\crossref{https://doi.org/10.3103/S0027132222060043}
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