UDC 512


Sizova Olga Alekseevna
Kostanay branch of Chelyabinsk state University
Мaster of mathematics, Senior lecturer of the chair of social-humanitarian and natural-science disciplines

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

View this article in Russian

Sorry, this article is only available in Русский.

All articles of author «Сизова Ольга Алексеевна»

© If you have found a violation of copyrights please notify us immediately by e-mail or feedback form.

Contact author (comments/reviews)

Write comment

You must authorise to write a comment.

Если Вы еще не зарегистрированы на сайте, то Вам необходимо зарегистрироваться: