Subexponential Estimations in the Shirshov Height Theorem

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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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2013-09, Vol.193 (3), p.378-381
Main Authors: Belov-Kanel, A., Kharitonov, M.
Format: Article
Language:English
Subjects:
Algebra
Mathematics
Mathematics and Statistics
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Description
Summary: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-013-1464-9