Piecewise periodicity structure estimates in Shirshov's height theorem.

DOI10.3103/S0027132213010051zbMath1286.16022OpenAlexW2093855188MaRDI QIDQ355334

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/s0027132213010051

zbMATH Keywords

divisibilityGelfand-Kirillov dimensionpolynomial identitiesword combinatoricsfinitely 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 (1)

Subexponential estimates in the height theorem and estimates on numbers of periodic parts of small periods.

Cites Work

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• Two-sided estimates for essential height in Shirshov's height theorem.
• The origins of combinatorics on words
• Burnside-type problems, theorems on height, and independence.
• Monomial algebras
• Subexponential estimates in Shirshov's theorem on height
• Some estimations for nilpotence of nill-algebras over a field of an arbitrary characteristic and height theorem
• The Gel'fand-Kirillov dimension of relatively free associative algebras

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