Almost nilpotent varieties of arbitrary integer exponent

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 .

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Bibliographic Details
Published in:Moscow University mathematics bulletin 2015-03, Vol.70 (2), p.92-95
Main Authors: Mishchenko, S. P., Shulezhko, O. V.
Format: Article
Language:English
Subjects:
Analysis
Brief Communications
Mathematics
Mathematics and Statistics
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Description
Summary: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 .
ISSN:0027-1322
1934-8444
DOI:10.3103/S0027132215020084