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 
@article{10_4064_ap76_1_6,
     author = {Eric Edo and St\'ephane V\'en\'ereau},
     title = {Length 2 variables of $A[x,y]$ and transfer},
     journal = {Annales Polonici Mathematici},
     pages = {67--76},
     publisher = {mathdoc},
     volume = {76},
     number = {1-2},
     year = {2001},
     doi = {10.4064/ap76-1-6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap76-1-6/}
}
TY  - JOUR
AU  - Eric Edo
AU  - Stéphane Vénéreau
TI  - Length 2 variables of $A[x,y]$ and transfer
JO  - Annales Polonici Mathematici
PY  - 2001
SP  - 67
EP  - 76
VL  - 76
IS  - 1-2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap76-1-6/
DO  - 10.4064/ap76-1-6
LA  - en
ID  - 10_4064_ap76_1_6
ER  - 
%0 Journal Article
%A Eric Edo
%A Stéphane Vénéreau
%T Length 2 variables of $A[x,y]$ and transfer
%J Annales Polonici Mathematici
%D 2001
%P 67-76
%V 76
%N 1-2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap76-1-6/
%R 10.4064/ap76-1-6
%G en
%F 10_4064_ap76_1_6
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. http://geodesic.mathdoc.fr/articles/10.4064/ap76-1-6/

Cité par Sources :