Variety of Jordan algebras $\operatorname{var}\bigl(UT_2(F)^{(+)}\bigr)$ has almost polynomial growth
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2012), pp. 49-52 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is proved that in the case of ground field of characteristic zero the variety of Jordan algebras $\operatorname{var}\bigl(UT_2(F)^{(+)}\bigr)$ has the growth with exponent two and any its proper subvariety has a polynomial growth.
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A. V. Popov. Variety of Jordan algebras $\operatorname{var}\bigl(UT_2(F)^{(+)}\bigr)$ has almost polynomial growth. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2012), pp. 49-52. http://geodesic.mathdoc.fr/item/VMUMM_2012_5_a9/

[1] Giambruno A., Zaicev M.V., Polynomial Identities and Asymptotic Methods, Mathematical Surveys and Monographs, 122, Amer. Math. Soc., Providence, RI, 2005 | DOI | MR

[2] Mischenko S.P., Popov A.V., “Mnogoobrazie iordanovykh algebr, opredelyaemoe tozhdestvom $\left( {xy} \right)\left( {zt} \right) \equiv 0$, imeet pochti polinomialnyi rost”, Matem. zametki, 87:6 (2010), 877–884 | DOI

[3] Zhevlakov K.A., Slinko A.M., Shestakov I.P., Shirshov A.I., Koltsa, blizkie k assotsiativnym, Nauka, M., 1978 | MR

[4] Drensky V., “On the identities of the three-dimensional simple Jordan algebra”, Ann. de l'Univ. de Sofia, Fac. de Math. et Mecan. Livre 1: Math., 78 (1984), 53–67 | MR