The Anick automorphism of free associative algebras

By Ualbai U. Umirbaev. 2006

59 citations recorded by the source corpus.

Abstract We prove that the well-known Anick automorphism (see P. M. Cohn, Free rings and their relations, 2nd ed., Academic Press, London 1985., p. 343) of the free associative algebra F〈x, y, z〉 over an arbitrary field F of characteristic 0 is wild.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/13d75406bba8f90dd4f6a5ec8775ad699587c64a

Citations in the corpus

• Automorphisms and derivations of free Poisson algebras in two variables (2007, unknown): “Key words: Poisson algebras, automorphisms, derivations.”