Geodesic
On the implicit conditional operations defined on pseudouniversal classes
Fundamentalʹnaâ i prikladnaâ matematika, Tome 10 (2004) no. 4, pp. 171-182.

Voir la notice de l'article provenant de la source Math-Net.Ru

We study syntactical descriptions of implicit operations on pseudouniversal classes of finite algebras (closed under subalgebras) and the questions of axiomatizability of such classes. 
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A. G. Pinus. On the implicit conditional operations defined on pseudouniversal classes. Fundamentalʹnaâ i prikladnaâ matematika, Tome 10 (2004) no. 4, pp. 171-182. http://geodesic.mathdoc.fr/item/FPM_2004_10_4_a10/

[1] Pinus A. G., “Ob uslovnykh termakh i tozhdestvakh na universalnykh algebrakh”, Vychislitelnye sistemy, 156, 1996, 59–78 | MR

[2] Pinus A. G., “Kharakterizatsiya uslovno termalnykh funktsii”, Sib. mat. zhurn., 38:1 (1997), 161–165 | MR | Zbl

[3] Pinus A. G., “Ischislenie uslovnykh tozhdestv i uslovno ratsionalnaya ekvivalentnost”, Algebra i logika, 37:4 (1998), 432–459 | MR | Zbl

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

[5] Pinus A. G., Uslovnye termy i ikh prilozheniya v algebre i teorii vychislenii, Izd-vo NGTU, Novosibirsk, 2003

[6] Ash C. J., “Pseudovarieties, generalized varieties and similarly described classes”, J. Algebra, 92:1 (1985), 104–115 | DOI | MR | Zbl

[7] Eilenberg S., Automata, Languages and Machines, Academic Press, New York, 1976 | MR

[8] Eilenberg S., Schutzenberger M. P., “On pseudovarieties”, Adv. Math., 19 (1976), 413–418 | DOI | MR | Zbl

[9] Higgins P. M., “An algebraic proof that pseudovarieties are defined by pseudoidentities”, Algebra Universalis, 27:4 (1990), 597–599 | DOI | MR | Zbl

[10] Reiterman J., “The Birkhoff theorem for finite algebras”, Algebra Universalis, 14:1 (1982), 1–10 | DOI | MR | Zbl