Length 2 variables of A[x,y] and transfer

Eric Edo; Stéphane Vénéreau

Annales Polonici Mathematici (2001)

  • Volume: 76, Issue: 1-2, page 67-76
  • ISSN: 0066-2216

Abstract

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We construct and study length 2 variables of A[x,y] (A is a commutative ring). If A is an integral domain, we determine among these variables those which are tame. If A is a UFD, we prove that these variables are all stably tame. We apply this construction to show that some polynomials of A[x₁,...,xₙ] are variables using transfer.

How to cite

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Eric Edo, and Stéphane Vénéreau. "Length 2 variables of A[x,y] and transfer." Annales Polonici Mathematici 76.1-2 (2001): 67-76. <http://eudml.org/doc/280679>.

@article{EricEdo2001,
abstract = {We construct and study length 2 variables of A[x,y] (A is a commutative ring). If A is an integral domain, we determine among these variables those which are tame. If A is a UFD, we prove that these variables are all stably tame. We apply this construction to show that some polynomials of A[x₁,...,xₙ] are variables using transfer.},
author = {Eric Edo, Stéphane Vénéreau},
journal = {Annales Polonici Mathematici},
keywords = {automorphism; stable tame variable; transfer},
language = {eng},
number = {1-2},
pages = {67-76},
title = {Length 2 variables of A[x,y] and transfer},
url = {http://eudml.org/doc/280679},
volume = {76},
year = {2001},
}

TY - JOUR
AU - Eric Edo
AU - Stéphane Vénéreau
TI - Length 2 variables of A[x,y] and transfer
JO - Annales Polonici Mathematici
PY - 2001
VL - 76
IS - 1-2
SP - 67
EP - 76
AB - We construct and study length 2 variables of A[x,y] (A is a commutative ring). If A is an integral domain, we determine among these variables those which are tame. If A is a UFD, we prove that these variables are all stably tame. We apply this construction to show that some polynomials of A[x₁,...,xₙ] are variables using transfer.
LA - eng
KW - automorphism; stable tame variable; transfer
UR - http://eudml.org/doc/280679
ER -

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