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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 9, Pages 36–45 (Mi ivm3064)  
This article is cited in 2 scientific papers (total in 2 papers)

Automata all of whose congruences are inner

V. N. Salii

Chair of Theoretical Foundations of Computer Security and Cryptography, Saratov State University, Saratov, Russia
Full-text PDF (200 kB) Citations (2)
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Abstract: A congruence on an automaton $\mathbf A$ is called inner if it is the kernel of a certain endomorphism on $\mathbf A$. We propose a characterization of automata, all of whose congruences are inner.
Keywords: automaton, congruence, inner congruence, endomorphism.
Received: 04.05.2005
Revised: 06.07.2007
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 9, Pages 29–37
DOI: https://doi.org/10.3103/S1066369X09090047
Bibliographic databases:
UDC: 512.5
Language: Russian
Citation: V. N. Salii, “Automata all of whose congruences are inner”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 9, 36–45; Russian Math. (Iz. VUZ), 53:9 (2009), 29–37
Citation in format AMSBIB
\Bibitem{Sal09}
\by V.~N.~Salii
\paper Automata all of whose congruences are inner
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 9
\pages 36--45
\mathnet{http://mi.mathnet.ru/ivm3064}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2650573}
\zmath{https://zbmath.org/?q=an:1173.68038}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 9
\pages 29--37
\crossref{https://doi.org/10.3103/S1066369X09090047}
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    • 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
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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