1Département de Mathématiques Pures Université Bordeaux I 351 cours de la Libération 33405 Talence Cedex, France 2Institut Fourier Université Joseph Fourier B.P. 53 38041 Grenoble Cedex 9, France
Annales Polonici Mathematici, Tome 76 (2001) no. 1-2, pp. 67-76
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
$A[x_1,\dots,x_n]$ are variables
using transfer.
Keywords:
construct study length variables commutative ring integral domain determine among these variables those which tame ufd prove these variables stably tame apply construction polynomials dots variables using transfer
Affiliations des auteurs :
Eric Edo
1
;
Stéphane Vénéreau
2
1
Département de Mathématiques Pures Université Bordeaux I 351 cours de la Libération 33405 Talence Cedex, France
2
Institut Fourier Université Joseph Fourier B.P. 53 38041 Grenoble Cedex 9, France
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title = {Length 2 variables of $A[x,y]$ and transfer},
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Eric Edo; Stéphane Vénéreau. Length 2 variables of $A[x,y]$ and transfer. Annales Polonici Mathematici, Tome 76 (2001) no. 1-2, pp. 67-76. doi: 10.4064/ap76-1-6
