Two-sided estimates for essential height in Shirshov's height theorem.

DOI10.3103/S0027132212020052zbMath1286.16021OpenAlexW2077376712MaRDI QIDQ355290

M. I. Kharitonov

Publication date: 24 July 2013

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132212020052

zbMATH Keywords

divisibilitypolynomial identitiesword combinatoricsDilworth theoremfinitely generated PI-algebrasShirshov height theorem

Mathematics Subject Classification ID

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

Related Items (2)

Piecewise periodicity structure estimates in Shirshov's height theorem. ⋮ Subexponential estimates in the height theorem and estimates on numbers of periodic parts of small periods.

Cites Work

• Monomial algebras
• Subexponential estimates in Shirshov's theorem on height
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