Geodesic
The Nagata automorphism of free nonassociative algebras of rank two over Euclidean domains
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 1279-1288

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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.
Mots-clés : polynomial algebra, Euclidean domain.
Keywords: free nonassociative algebra, tame and wild automorphism 
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     author = {A. A. Alimbaev and U. U. Umirbaev},
     title = {The {Nagata} automorphism of free nonassociative algebras of rank two over {Euclidean} domains},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1279--1288},
     publisher = {mathdoc},
     volume = {14},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2017_14_a37/}
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A. A. Alimbaev; U. U. Umirbaev. The Nagata automorphism of free nonassociative algebras of rank two over Euclidean domains. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 1279-1288. http://geodesic.mathdoc.fr/item/SEMR_2017_14_a37/