Geodesic
Automata all of whose congruences are inner
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2009), pp. 36-45 Cet article a éte moissonné depuis la source Math-Net.Ru

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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
Mots-clés : endomorphism. 
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     author = {V. N. Salii},
     title = {Automata all of whose congruences are inner},
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     url = {http://geodesic.mathdoc.fr/item/IVM_2009_9_a3/}
}
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V. N. Salii. Automata all of whose congruences are inner. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2009), pp. 36-45. http://geodesic.mathdoc.fr/item/IVM_2009_9_a3/

[1] Fuchs L., Kertesz A., Szele T., “On abelian groups in which every homomorphic image can be embedded”, Acta Math. Hung., 7:3–4 (1956), 467–475 | MR | Zbl

[2] Rival I., Sands B., “Weak embeddings and embeddings of finite distributive lattices”, Arch. Math., 26:1 (1975), 346–352 | DOI | MR | Zbl

[3] Blyth T. S., Fang J., Silva H. J., “The endomorphism kernel property in finite distributive lattices and de Morgan algebras”, Commun. Algebra, 32:6 (2004), 2225–2242 | DOI | MR | Zbl

[4] Kireeva A. V., “Podgrafy i faktorizatsii funktsionalnykh grafov”, UMN, 48:2 (1993), 183–184 | MR | Zbl

[5] Bogomolov A. M., Salii V. N., Algebraicheskie osnovy teorii diskretnykh sistem, Nauka, M., 1997, 368 pp. | MR | Zbl

[6] Salii V. N., “O vnutrennikh kongruentsiyakh avtomatov”, Mezhdunarodn. algebr. konf., posv. 250-letiyu Mosk. un-ta, Tez. dokl., Moskva, 2004, 109–110

[7] Salii V. N., Universalnaya algebra i avtomaty, Izd-vo Sarat. un-ta, Saratov, 1988, 72 pp.

[8] Fang J., “An extended Ockam algebra with endomorphism kernel property”, Acta Math. Sinica, 23:9 (2007), 1611–1620 | DOI | Zbl