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Almost nilpotent varieties with non-integer exponents do exist

S. P. Mishchenko

Ulyanovsk State University, Faculty of Mathematics and Information Technologies

Abstract: In this paper we prove the existence of almost nilpotent variety of linear algebras such that an exponent of it is not integer. Examples of almost nilpotent varieties with integer exponents were known previously.

Key words: variety of linear algebras, identity, growth of the codimensions.

UDC: 512.5

Received: 25.11.2015

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2016, 71:3, 115–118

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