Dimension of an integer valued polynomial ring

DOI10.1007/BF02568436zbMath0712.13001MaRDI QIDQ923633

Paul-Jean Cahen

Publication date: 1990

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

Full work available at URL: https://eudml.org/doc/155503

zbMATH Keywords

Krull dimensioninteger-valued polynomials

Mathematics Subject Classification ID

Polynomials over commutative rings (13B25) Integral domains (13G05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (9)

Essential domains and two conjectures in dimension theory ⋮ Elasticity for integral-valued polynomials ⋮ The Noetherian Property in Rings of Integer-Valued Polynomials ⋮ Jump of a domain and spectrally balanced domains ⋮ Paul-Jean Cahen (1946–2019) ⋮ An overview of some recent developments on integer-valued polynomials: Answers and Questions ⋮ Integer-Valued Polynomials on a Subset ⋮ A note on the Krull dimension of rings between \(D[X\) and \(\mathrm{Int}(D)\)] ⋮ Generators of maximal ideals in the ring of integer-valued polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Polynômes à valeurs entières sur un anneau de pseudovaluation. (Integer valued polynomials over a pseudovaluation ring)
• On Jaffard domains
• Couples d'anneaux partageant un idéal. (Couples of rings sharing an ideal)
• Pseudo-valuation domains
• On the coefficients and values of polynomial rings
• Overrings and divisorial ideals of rings of the form \(D+M\)
• A note on the dimension theory of rings
• On the dimension theory of rings. II
• Ideals in rings of integer valued polynomials.
• Les idéaux premiers de l'anneau des polynomes à valeurs entières.

This page was built for publication: Dimension of an integer valued polynomial ring