Tame Automorphisms Fixing a Variable of Free Associative Algebras of Rank Three

Details Tame Automorphisms Fixing a Variable of Free Associative Algebras of Rank Three Tame Automorphisms Fixing a Variable of Free Associative Algebras of Rank Three

2006-05-02

arxiv.org/abs/math/0605044v1

Mathematics

Rings and Algebras

Scientific paper

We study automorphisms of the free associative algebra K over a field
K which fix the variable z. We describe the structure of the group of z-tame
automorphisms and derive algorithms which recognize z-tame automorphisms and
z-tame coordinates.

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