Idéaux de polynômes et idéaux de valeurs. (Polynomial ideals and value ideals)

DOI10.1007/BF01169341zbMath0644.13006MaRDI QIDQ1102333

Jean-Luc Chabert

Publication date: 1988

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155282

zbMATH Keywords

polynomial idealsstrong Skolem propertystrong Hilbert propertyvalue ideals

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (4)

Invertible ideals of the ring of integral valued polynomials ⋮ Sets that determine integer-valued polynomials ⋮ The Picard group of an integer-valued polynomial ring ⋮ Skolem properties, value-functions, and divisorial ideals

Cites Work

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• On rings with a certain divisibility property
• On the coefficients and values of polynomial rings
• Anneaux de Skolem
• Le Nullstellensatz de Hilbert et les polynômes à valeurs entières
• On Prüfer domains of polynomials.
• A theorem on ideals in prüfer rings of integral-valued polynomials
• Hilbert rings of integral-valued polynomials
• Ideals in rings of integer valued polynomials.
• Les idéaux premiers de l'anneau des polynomes à valeurs entières.
• Polynomes à valeurs entières et propriété de Skolem.
• Anneaux de 'polynômes à valeurs entières' et anneaux de Fatou

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