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

2006/05/02 by Vesselin Drensky, Drensky, Vesselin, Jie-Tai Yu +1
Mathematics · #16Z05 #FOS: Mathematics #Primary 16S10. Secondary 16W20 #Rings and Algebras (math.RA) #math.RA #msc:16S10. #msc:16W20 #msc:16Z05

paper · pdf · doi:10.48550/arxiv.math/0605044

arxiv created 2006/05/02 · arxiv updated 2009/12/01

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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