Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2012, Number 5, Pages 49–52 (Mi vmumm531)  
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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
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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.
Funding agency Grant number
Russian Foundation for Basic Research 10-01-00209а
Received: 16.09.2011
English version:
Moscow University Mathematics Bulletin, 2012, Volume 67, Issue 5-6, Pages 224–227
DOI: https://doi.org/10.3103/S0027132212050087
Bibliographic databases:
Document Type: Article
UDC: 512.572
Language: Russian
Citation: A. V. Popov, “Variety of Jordan algebras $\operatorname{var}\bigl(UT_2(F)^{(+)}\bigr)$ has almost polynomial growth”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 5, 49–52; Moscow University Mathematics Bulletin, 67:5-6 (2012), 224–227
Citation in format AMSBIB
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\paper Variety of Jordan algebras $\operatorname{var}\bigl(UT_2(F)^{(+)}\bigr)$ has almost polynomial growth
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2012
\issue 5
\pages 49--52
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\transl
\jour Moscow University Mathematics Bulletin
\yr 2012
\vol 67
\issue 5-6
\pages 224--227
\crossref{https://doi.org/10.3103/S0027132212050087}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84870919151}
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