On the Galois-Correspondence between Implicit Operations and Categories of Universal Algebras
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 11 (2011) no. 3, pp. 146-152

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We given some criterion, when some subsemigroup of the semigroup of innere homomorphisms of universal algebra is the semigroup of innere homomorphisms of some enrichment of this algebra.
Mots-clés : Galois-correspondence
Keywords: implicit operations, categories of universal algebras.
A. G. Pinus. On the Galois-Correspondence between Implicit Operations and Categories of Universal Algebras. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 11 (2011) no. 3, pp. 146-152. http://geodesic.mathdoc.fr/item/VNGU_2011_11_3_a9/
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[1] Pinus A. G., “Neyavnye operatsii nad kategoriyami universalnykh algebr”, Sib. mat. zhurn., 50:1 (2009), 146–153 | MR | Zbl

[2] Pinus A. G., “O neyavnykh operatsiyakh na psevdouniversalnykh klassakh”, Fundamentalnaya i prikladnaya matematika, 10:4 (2004), 174–182

[3] Pinus A. G., “Pozitivno uslovnye psevdomnogoobraziya i neyavnye operatsii na nikh”, Sib. mat. zhurn., 47:2 (2006), 372–382 | MR | Zbl

[4] Pinus A. G., “O uslovnykh mnogoobraziyakh, uslovnykh psevdomnogoobraziyakh i neyavnykh operatsiyakh na nikh”, Algebra i teoriya modelei, 5, Izd-vo NGTU, Novosibirsk, 2005, 138–161

[5] Pinus A. G., Proizvodnye struktury universalnykh algebr, Izd-vo NGTU, Novosibirsk, 2007 | Zbl

[6] Pinus A. G., Uslovnye termy i ikh prilozheniya v algebre i teorii vychislenii, Izd-vo NGTU, Novosibirsk, 2002

[7] Pinus A. G., “Uslovnye termy i ikh primenenie v algebre i teorii vychislenii”, Uspekhi mat. nauk, 56:4 (2001), 35–72 | DOI | MR | Zbl

[8] Pinus A. G., “The Positive and Generalized Discriminators Don't Exist”, Discussiones Mathem., General Algebra and Appl., 20 (2000), 121–128 | DOI | MR | Zbl

[9] Pinus A. G., “Vnutrennie gomomorfizmy i pozitivno-uslovnye termy”, Algebra i logika, 40:32 (2001), 158–173 | MR | Zbl