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Scientific journal of the
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The News of Altai State University
Print ISSN 1561-9443
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Content of 1(19) 2001
Mathematics and Computer Science
Mathematics and Computer Science

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E.S. Chibrikov

About height of Shirshov finitely generated associative algebra satisfying a multilinear identity of degree four

Let A=F<a1,...,ak> be a finitely generated algebra satisfying a multilinear identity of degree four. It is proved the Shirshov's height h(4, k) is less them (7k2-2k).

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