Geodesic
$\Sigma$-uniform structures and $\Sigma$-functions. I
Algebra i logika, Tome 50 (2011) no. 5, pp. 659-684 Cet article a éte moissonné depuis la source Math-Net.Ru

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The concept of a $\Sigma$-uniform structure is introduced. A condition is derived which is necessary and sufficient for a universal $\Sigma$-function to exist in a hereditarily finite admissible set over a $\Sigma$-uniform structure.
Keywords: hereditarily finite admissible set, $\Sigma$-definability, universal $\Sigma$-function, $\Sigma$-uniform structure. 
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     title = {$\Sigma$-uniform structures and $\Sigma${-functions.~I}},
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A. N. Khisamiev. $\Sigma$-uniform structures and $\Sigma$-functions. I. Algebra i logika, Tome 50 (2011) no. 5, pp. 659-684. http://geodesic.mathdoc.fr/item/AL_2011_50_5_a4/

[1] Yu. L. Ershov, Opredelimost i vychislimost, Sibirskaya shkola algebry i logiki, Nauchnaya kniga, Novosibirsk ; 2-е изд., Экономика, М., 2000 | MR

[2] V. A. Rudnev, “Ob universalnoi rekursivnoi funktsii na dopustimykh mnozhestvakh”, Algebra i logika, 25:4 (1986), 425–435 | MR | Zbl

[3] A. S. Morozov, V. G. Puzarenko, “O $\Sigma$-podmnozhestvakh naturalnykh chisel”, Algebra i logika, 43:3 (2004), 291–320 | MR | Zbl

[4] I. Sh. Kalimullin, V. G. Puzarenko, “O printsipakh vychislimosti na dopustimykh mnozhestvakh”, Matem. tr., 7:2 (2004), 35–71 | MR | Zbl

[5] V. G. Puzarenko, “K vychislimosti na spetsialnykh modelyakh”, Sib. matem. zh., 46:1 (2005), 185–208 | MR | Zbl

[6] A. N. Khisamiev, “O $\Sigma$-podmnozhestvakh naturalnykh chisel nad abelevymi gruppami”, Sib. matem. zh., 47:3 (2006), 695–706 | MR | Zbl

[7] A. N. Khisamiev, “$\Sigma$-ogranichennye algebraicheskie sistemy i universalnye funktsii, I”, Sib. matem. zh., 51:1 (2010), 217–235 | MR | Zbl

[8] A. N. Khisamiev, “$\Sigma$-ogranichennye algebraicheskie sistemy i universalnye funktsii, II”, Sib. matem. zh., 51:3 (2010), 676–693 | MR | Zbl

[9] A. N. Khisamiev, “$\Sigma$-odnorodnye algebraicheskie sistemy i universalnye $\Sigma$-funktsii”, Tr. mezhd. konf. “Vychislimost i modeli”, VKGTU, Ust-Kamenogorsk, 2010, 115–130