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

Access to Document

10.1007/s00029-012-0089-z

Cite this

@article{84a7d73e71ea43e5b06711f844c893d8,

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}",

year = "2012",

month = dec,

doi = "10.1007/s00029-012-0089-z",

language = "אנגלית",

volume = "18",

pages = "799--802",

journal = "Selecta Mathematica, New Series",

issn = "1022-1824",

publisher = "Birkhauser Verlag Basel",

number = "4",

}

TY - JOUR

T1 - Stable tameness of automorphisms of F〈x,y,z〉 fixing z

AU - Belov-Kanel, Alexei

AU - Yu, Jie Tai

PY - 2012/12

Y1 - 2012/12

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=84870391886&partnerID=8YFLogxK

U2 - 10.1007/s00029-012-0089-z

DO - 10.1007/s00029-012-0089-z

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:84870391886

SN - 1022-1824

VL - 18

SP - 799

EP - 802

JO - Selecta Mathematica, New Series

JF - Selecta Mathematica, New Series

IS - 4

ER -

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

Abstract

Funding

Keywords

Access to Document

Other files and links

Fingerprint

Cite this