This article is cited in 10 papers

Short notes

Almost nilpotent varieties of arbitrary integer exponent

S. P. Mishchenko^a, O. V. Shulezhko<sup>b

a</sup> 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.

UDC: 512.5

Received: 10.02.2014

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2015, 70:2, 92–95

Bibliographic databases:

• 
• 
• 
•