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We study subexponential estimates in the Shirshov height theorem. Our proof uses Latyshev's idea of the Dilworth theorem application. G. Chelnokov proposed using this idea in the nonmultilinear case.
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This page is a summary of: Subexponential estimates in the height theorem and estimates on numbers of periodic parts of small periods, Journal of Mathematical Sciences, August 2013, Springer Science + Business Media,
DOI: 10.1007/s10958-013-1477-4.
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