Estimations of the particular periodicity in case of the extremal periods in Shirshov's Height theorem

Details Estimations of the particular periodicity in case of the extremal periods in Shirshov's Height theorem Estimations of the particular periodicity in case of the extremal periods in Shirshov's Height theorem

2011-08-31

arxiv.org/abs/1108.6295v2

Mathematics

Combinatorics

In Russian, 13 pages. In this version the words of length (n-1) was added. Besides that, deduction of the proof of exponential

Scientific paper

Let us recall the well-known Shirshov's Height Theorem. "Let A be a finitely generated algebra of degree d. Then there exists a finite set Y which is the subset of A that A has and an integer h' = h(A) such that A has Shirshov's height h' over set Y. For Y we may take the set of words of length

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