|
Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2012, Number 5, Pages 49–52
(Mi vmumm531)
|
|
|
|
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.
Received: 16.09.2011
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
Linking options:
https://www.mathnet.ru/eng/vmumm531 https://www.mathnet.ru/eng/vmumm/y2012/i5/p49
|
Statistics & downloads: |
Abstract page: | 82 | Full-text PDF : | 24 | References: | 20 |
|