Stable tameness of automorphisms of F〈x,y,z〉 fixing z

Alexei Belov-Kanel; Jie Tai Yu

doi:10.1007/s00029-012-0089-z

Stable tameness of automorphisms of F〈x,y,z〉 fixing z

Alexei Belov-Kanel, Jie Tai Yu

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

It is proved that every z-automorphism (z-coordinates, respectively) of the free associative algebra F〈x,y,z〉 over an arbitrary field F is stably tame.

Original language	English
Pages (from-to)	799-802
Number of pages	4
Journal	Selecta Mathematica, New Series
Volume	18
Issue number	4
DOIs	https://doi.org/10.1007/s00029-012-0089-z
State	Published - Dec 2012

Funding

The research of Jie-Tai Yu was partially supported by an RGC-GRF Grant.

Funders	Funder number
RGC-GRF

Keywords

Automorphisms
Coordinates
Free associative algebras
Lifting problem
Polynomial algebras
Stably tameness

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10.1007/s00029-012-0089-z

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title = "Stable tameness of automorphisms of F〈x,y,z〉 fixing z",

abstract = "It is proved that every z-automorphism (z-coordinates, respectively) of the free associative algebra F〈x,y,z〉 over an arbitrary field F is stably tame.",

keywords = "Automorphisms, Coordinates, Free associative algebras, Lifting problem, Polynomial algebras, Stably tameness",

author = "Alexei Belov-Kanel and Yu, \{Jie Tai\}",

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AB - It is proved that every z-automorphism (z-coordinates, respectively) of the free associative algebra F〈x,y,z〉 over an arbitrary field F is stably tame.

KW - Automorphisms

KW - Coordinates

KW - Free associative algebras

KW - Lifting problem

KW - Polynomial algebras

KW - Stably tameness

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Stable tameness of automorphisms of F〈x,y,z〉 fixing z

Abstract

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Keywords

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