A. V. Popov, “Variety of Jordan algebras <nobr>$\operatorname{var}\bigl(UT_2(F)^{(+)}\bigr)$</nobr> has almost polynomial growth”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, Number 5,Pages <nobr>49

Short notes

Variety of Jordan algebras $\operatorname{var}\bigl(UT_2(F)^{(+)}\bigr)$ has almost polynomial growth

A. V. Popov

Ulyanovsk State University, Faculty of Mathematics and Information Technologies

Abstract: 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.

Key words: variety of linear algebras, Jordan algebra, polynomial identity, almost polynomial growth.

UDC: 512.572

Received: 16.09.2011