Skolem properties, value-functions, and divisorial ideals

DOI10.1016/S0022-4049(97)00159-XzbMath0931.13012OpenAlexW2013506183MaRDI QIDQ1295698

Thomas G. Lucas, Paul-Jean Cahen, Jean-Luc Chabert, Evan G. jun. Houston

Publication date: 8 March 2000

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(97)00159-x

zbMATH Keywords

Dedekind domainring of integer-valued polynomialsdivisorial prime idealinvertible prime idealSkolem properties

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility and factorizations in commutative rings (13A05)

Related Items (1)

Paul-Jean Cahen (1946–2019)

Cites Work

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• Finitely generated ideals of the ring of integer-valued polynomials
• Un anneau de Prüfer. (A Prüfer ring)
• Idéaux de polynômes et idéaux de valeurs. (Polynomial ideals and value ideals)
• On rings with a certain divisibility property
• On the coefficients and values of polynomial rings
• Anneaux de Skolem
• Integer-Valued Polynomials
• 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.
• Ideals of integer-valued polynomial rings

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