Geodesic
On the scale of local computability potentials of algebras
Fundamentalʹnaâ i prikladnaâ matematika, Tome 15 (2009) no. 1, pp. 135-145 
A. G. Pinus. On the scale of local computability potentials of algebras. Fundamentalʹnaâ i prikladnaâ matematika, Tome 15 (2009) no. 1, pp. 135-145. http://geodesic.mathdoc.fr/item/FPM_2009_15_1_a9/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The concept of the scale of local computability (local program-computability possibilities) of all universal algebras is introduced. Properties of this scale are studied.

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

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

[3] Pinus A. G., “Universalnye algebry i idealy shkaly potentsialov vychislimosti vsekh konechnykh algebr”, Vestn. NGU, 7:2 (2007), 93–99 | MR

[4] Pinus A. G., “Shkala potentsialov vychislimosti vsekh konechnykh algebr”, Sib. mat. zhurn., 48:3 (2007), 668–673 | MR | Zbl

[5] Pinus A. G., “Avtomorfizmy, formulnye otnosheniya i pokrytiya elementov shkaly potentsialov vychislimosti vsekh konechnykh algebr”, Algebra i logika, 47:4 (2008), 464–474 | MR | Zbl

[6] Pinus A. G., “Ob elementarnoi teorii shkaly potentsialov vychislimosti vsekh konechnykh algebr” (to appear)

[7] Pinus A. G., Zhurkov S. V., “O shkalakh potentsialov vychislimosti universalnykh algebr”, Vychislitelnye sistemy, 169, 2002, 26–38 | MR | Zbl

[8] Pinus A. G., Zhurkov S. V., “Shkaly potentsialov vychislimosti konechnykh algebr: rezultaty i problemy”, Fundament. i prikl. mat., 9:3 (2003), 145–164 | MR | Zbl