Coordinates and Automorphisms of Polynomial and Free Associative Algebras of Rank Three

Details Coordinates and Automorphisms of Polynomial and Free Associative Algebras of Rank Three Coordinates and Automorphisms of Polynomial and Free Associative Algebras of Rank Three

2006-06-13

arxiv.org/abs/math/0606304v1

Mathematics

Rings and Algebras

Scientific paper

We study z-automorphisms of the polynomial algebra K[x,y,z] and the free associative algebra K over a field K, i.e., automorphisms which fix the variable z. We survey some recent results on such automorphisms and on the corresponding coordinates. For K we include also results about the structure of the z-tame automorphisms and algorithms which recognize z-tame automorphisms and z-tame coordinates.

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