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UDC 512
EQUATION XA = YB IN THE FREE LIE ALGEBRA
Sizova Olga Alekseevna
Kostanay branch of Chelyabinsk state University
Мaster of mathematics, Senior lecturer of the chair of social-humanitarian and natural-science disciplines
Kostanay branch of Chelyabinsk state University
Мaster of mathematics, Senior lecturer of the chair of social-humanitarian and natural-science disciplines
Abstract
In this article we have shown that equation of the type xa=yb range 2 in free algebra Lie L[a,b] for words of the length 7 have only trivial decisions, but for words of the lengths 8 and 9 have an untrivial decision, hereunder we refuted promoted hypothesis in article [1].
Keywords: equation of rank 2, free Lie algebra, non-associative word, normed word, podprostranstvo dimension, the formula Witt, the Mobius function, unntrivial solution, word length
Category: Common rubric
Article reference:
Sizova O.A. Equation xa = yb in the free Lie algebra // Researches in Science. 2014. № 3 [Electronic journal]. URL: https://science.snauka.ru/en/2014/03/6676
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