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Sturmian words and uncountable set of almost nilpotent varieties of quadratic growth

S. P. Mishchenko, N. P. Panov

Ulyanovsk State University, Faculty of Mathematics and Information Technologies

Abstract: For any infinite Sturmian word we define an almost nilpotent variety of quadratic growth. Thus, an uncountable set of different almost nilpotent varieties is constructed.

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

UDC: 512.55

Received: 01.03.2017

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2017, 72:6, 251–254

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