Subexponential estimates in the Shirshov height theorem.

DOI10.1007/S10958-013-1464-9zbMath1288.16028OpenAlexW1929311334MaRDI QIDQ378677

M. I. Kharitonov, Alexei Kanel-Belov

Publication date: 12 November 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1464-9

zbMATH Keywords

polynomial identitiesword combinatoricsDilworth theoremfinitely generated PI-algebrasShirshov height theoremBurnside-type problems

Mathematics Subject Classification ID

Combinatorics on words (68R15) Growth rate, Gelfand-Kirillov dimension (16P90) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Cites Work

• Algebras and semigroups with quadratic growth functions

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