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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2015, Number 2, Pages 53–57
(Mi vmumm225)
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This article is cited in 10 scientific papers (total in 10 papers)
Short notes
Almost nilpotent varieties of arbitrary integer exponent
S. P. Mishchenkoa, O. V. Shulezhkob a Ulyanovsk State University, Faculty of Mathematics and Information Technologies
b Ul'yanovsk State Pedagogical University
Abstract:
Varieties of linear algebras with the square lying in the right annihilator are considered. In the case of field of characteristic zero, it is proved that for any integer $m$ there exists an almost nilpotent variety with PI-exponent is equal to $m$.
Key words:
variety of linear algebras, identity, growth of the codimensions.
Received: 10.02.2014
Citation:
S. P. Mishchenko, O. V. Shulezhko, “Almost nilpotent varieties of arbitrary integer exponent”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 2, 53–57; Moscow University Mathematics Bulletin, 70:2 (2015), 92–95
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https://www.mathnet.ru/eng/vmumm225 https://www.mathnet.ru/eng/vmumm/y2015/i2/p53
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Abstract page: | 164 | Full-text PDF : | 33 | References: | 30 |
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