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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2017, Volume 14, Pages 1279–1288
DOI: https://doi.org/10.17377/semi.2017.14.108 (Mi semr867) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical logic, algebra and number theory

The Nagata automorphism of free nonassociative algebras of rank two over Euclidean domains

A. A. Alimbaeva, U. U. Umirbaevb

a Kostanay State Pedagogical Institute, Tauelsizdik street, 118, 110000, Kostanay, Kazakhstan
b Wayne State University, 656 W. Kirby, Detroit, MI 48202, USA
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DOI: https://doi.org/10.17377/semi.2017.14.108
Abstract: We construct an analogue of the Nagata automorphism of free nonassociative algebras and free commutative algebras of rank two over а Euclidean domain and prove that it is wild.
Keywords: polynomial algebra, free nonassociative algebra, tame and wild automorphism, Euclidean domain.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan 0538/GF4
Received October 5, 2017, published November 30, 2017
Bibliographic databases:
Document Type: Article
UDC: 512.5
MSC: 17A36
Language: Russian
Citation: A. A. Alimbaev, U. U. Umirbaev, “The Nagata automorphism of free nonassociative algebras of rank two over Euclidean domains”, Sib. Èlektron. Mat. Izv., 14 (2017), 1279–1288
Citation in format AMSBIB
\Bibitem{AliUmi17}
\by A.~A.~Alimbaev, U.~U.~Umirbaev
\paper The Nagata automorphism of free nonassociative algebras of rank two over Euclidean domains
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 1279--1288
\mathnet{http://mi.mathnet.ru/semr867}
\crossref{https://doi.org/10.17377/semi.2017.14.108}
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