Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2012), pp. 49-52
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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/
@article{VMUMM_2012_5_a9,
author = {A. V. Popov},
title = {Variety of {Jordan} algebras $\operatorname{var}\bigl(UT_2(F)^{(+)}\bigr)$ has almost polynomial growth},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {49--52},
year = {2012},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2012_5_a9/}
}
TY - JOUR
AU - A. V. Popov
TI - Variety of Jordan algebras $\operatorname{var}\bigl(UT_2(F)^{(+)}\bigr)$ has almost polynomial growth
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 2012
SP - 49
EP - 52
IS - 5
UR - http://geodesic.mathdoc.fr/item/VMUMM_2012_5_a9/
LA - ru
ID - VMUMM_2012_5_a9
ER -
%0 Journal Article
%A A. V. Popov
%T Variety of Jordan algebras $\operatorname{var}\bigl(UT_2(F)^{(+)}\bigr)$ has almost polynomial growth
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2012
%P 49-52
%N 5
%U http://geodesic.mathdoc.fr/item/VMUMM_2012_5_a9/
%G ru
%F VMUMM_2012_5_a9
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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[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