Dimension of an integer valued polynomial ring
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Publication:923633
DOI10.1007/BF02568436zbMath0712.13001MaRDI QIDQ923633
Publication date: 1990
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/155503
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
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- 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.
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