Geodesic
Residues and effective Nullstellensatz
Berenstein, Carlos1 ; Yger, Alain2
1 Institute for Systems Research, University of Maryland, College Park, MD 20742
2 Laboratoire de Mathématiques Pures, Université Bordeaux Sciences, 33405 Talence, France
Electronic research announcements of the American Mathematical Society, Tome 02 (1996) no. 2, pp. 82-91.

Voir la notice de l'article provenant de la source American Mathematical Society

Let $\mathbf {K}$ be a commutative field; an algorithmic approach to residue symbols defined on a Noetherian $\mathbf {K}$-algebra $\mathbf {R}$ has been developed. It is used to prove an effective Nullstellensatz for polynomials defined over infinite factorial rings $\mathbf {A}$ equipped with a size. This result extends (and slightly improves) the previous work of the authors in the case $\mathbf {A} =\mathbf {Z}$.
DOI : 10.1090/S1079-6762-96-00011-X

Berenstein, Carlos 1 ; Yger, Alain 2

1 Institute for Systems Research, University of Maryland, College Park, MD 20742
2 Laboratoire de Mathématiques Pures, Université Bordeaux Sciences, 33405 Talence, France 
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Berenstein, Carlos; Yger, Alain. Residues and effective Nullstellensatz. Electronic research announcements of the American Mathematical Society, Tome 02 (1996) no. 2, pp. 82-91. doi : 10.1090/S1079-6762-96-00011-X. http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-96-00011-X/

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