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Matematicheskie Zametki, 2014, Volume 95, Issue 4, Pages 577–589
DOI: https://doi.org/10.4213/mzm10117 (Mi mzm10117) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Pseudosymmetric Equations in a Free Monoid

A. Sh. Malkhasyan

Yerevan State University
Full-text PDF (402 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm10117
Abstract: In 2011, Makanin obtained the general solution of the symmetric equation
$$ x_1x_2\dotsb x_{n-1}x_n=x_nx_{n-1}\dotsb x_2x_1 $$
in a free monoid. In the present paper, a generalization of this result is given. Namely, we shall describe the general solution of the so-called pseudosymmetric equations in a free monoid which are obtained from the symmetric equations by transposing one (any) pair of adjacent variables.
Keywords: pseudosymmetric equation, free monoid, recursive function (recursion), lexicographic variable.
Received: 30.08.2012
Revised: 10.12.2012
English version:
Mathematical Notes, 2014, Volume 95, Issue 4, Pages 520–529
DOI: https://doi.org/10.1134/S0001434614030249
Bibliographic databases:
Document Type: Article
UDC: 519.4
Language: Russian
Citation: A. Sh. Malkhasyan, “Pseudosymmetric Equations in a Free Monoid”, Mat. Zametki, 95:4 (2014), 577–589; Math. Notes, 95:4 (2014), 520–529
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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