This article is cited in 1 paper

Mathematical logic, algebra and number theory

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

A. A. Alimbaev^a, U. U. Umirbaev<sup>b

a</sup> Kostanay State Pedagogical Institute, Tauelsizdik street, 118, 110000, Kostanay, Kazakhstan
^b Wayne State University, 656 W. Kirby, Detroit, MI 48202, USA

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.

UDC: 512.5

MSC: 17A36

Received October 5, 2017, published November 30, 2017

DOI: 10.17377/semi.2017.14.108

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