SUMMARY Mikhail Igorevich Kharitonov The research is devoted to sub exp onential estimations in Shirshov's Height theorem. ... If satises p olynomial identity of degree n then A n n -divisible words of generators ··· a l . A. I. Shirshov proved that the set of non -divisible words over alphab et of cardinality l has b ounded height h over the set Y consisting of all the words of degree We show, that n - 1. 12 log3 n+36 log3 log3 n+91 h < (n, l), where (n, l) = 296 l · n Let . ...
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