Geodesic
Length 2 variables of $A[x,y]$ and transfer
Eric Edo1 ; Stéphane Vénéreau2
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
Annales Polonici Mathematici, Tome 76 (2001) no. 1-2, pp. 67-76

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap76-1-6
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

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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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

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