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

Vesselin Drensky, Jie-Tai Yu

math.RAarXiv:math/0605044

Abstract

We study automorphisms of the free associative algebra K<x,y,z> 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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