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@article{MZM_2010_87_6_a8, author = {S. P. Mishchenko and A. V. Popov}, title = {The {Variety} of {Jordan} {Algebras} {Determined} by the {Identity} $(xy)(zt)\equiv0$ {Has} {Almost} {Polynomial} {Growth}}, journal = {Matemati\v{c}eskie zametki}, pages = {877--884}, publisher = {mathdoc}, volume = {87}, number = {6}, year = {2010}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_2010_87_6_a8/} }
TY - JOUR AU - S. P. Mishchenko AU - A. V. Popov TI - The Variety of Jordan Algebras Determined by the Identity $(xy)(zt)\equiv0$ Has Almost Polynomial Growth JO - Matematičeskie zametki PY - 2010 SP - 877 EP - 884 VL - 87 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2010_87_6_a8/ LA - ru ID - MZM_2010_87_6_a8 ER -
%0 Journal Article %A S. P. Mishchenko %A A. V. Popov %T The Variety of Jordan Algebras Determined by the Identity $(xy)(zt)\equiv0$ Has Almost Polynomial Growth %J Matematičeskie zametki %D 2010 %P 877-884 %V 87 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/MZM_2010_87_6_a8/ %G ru %F MZM_2010_87_6_a8
S. P. Mishchenko; A. V. Popov. The Variety of Jordan Algebras Determined by the Identity $(xy)(zt)\equiv0$ Has Almost Polynomial Growth. Matematičeskie zametki, Tome 87 (2010) no. 6, pp. 877-884. http://geodesic.mathdoc.fr/item/MZM_2010_87_6_a8/
[1] A. I. Maltsev, “Ob algebrakh s tozhdestvennymi opredelyayuschimi sootnosheniyami”, Matem. sb., 26:1 (1950), 19–33 | MR | Zbl
[2] A. Giambruno, M. Zaicev, “Exponential codimension growth of PI algebras: an exact estimate”, Adv. Math., 142:2 (1999), 221–243 | DOI | MR | Zbl
[3] I. B. Volichenko, “Mnogoobrazie algebr Li s tozhdestvom $[[x_1,x_2,x_3],[x_4,x_5,x_6]]=0$ nad polem kharakteristiki nul”, Sib. matem. zhurn., 25:3 (1984), 40–54 | MR | Zbl
[4] M. V. Zaitcev, S. P. Mishchenko, “An example of a variety of Lie algebras with a fractional exponent”, J. Math. Sci. (New York), 93:6 (1999), 977–982 | DOI | MR | Zbl
[5] S. P. Mischenko, “O mnogoobraziyakh polinomialnogo rosta algebr Li nad polem kharakteristiki nul”, Matem. zametki, 40:6 (1986), 713–721 | MR | Zbl
[6] S. R. Sverchkov, “O razreshimykh indeksa 2 iordanovykh algebrakh”, Matem. sb., 121:1 (1983), 40–47 | MR | Zbl
[7] V. S. Drensky, T. G. Rashkova, “Varieties of metabelian Jordan algebras”, Serdica, 15:4 (1989), 293–301 | MR | Zbl
[8] K. A. Zhevlakov, A. M. Slinko, I. P. Shestakov, A. I. Shirshov, Koltsa, blizkie k assotsiativnym, Sovremennaya algebra, Nauka, M., 1978 | MR | Zbl
[9] Yu. A. Bakhturin, Tozhdestva v algebrakh Li, Nauka, M., 1985 | MR | Zbl
[10] A. Giambruno, M. Zaicev, Polynomial Identities and Asymptotic Methods, Math. Surveys Monogr., 122, Amer. Math. Soc., Providence, RI, 2005 | MR | Zbl