On the spectrum of rings of functions

DOI10.1016/j.jpaa.2017.09.001zbMath1391.13039arXiv1604.04866OpenAlexW2964276885MaRDI QIDQ1742999

Sophie Frisch

Publication date: 12 April 2018

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

Full work available at URL: https://arxiv.org/abs/1604.04866

zbMATH Keywords

maximal idealsultraproductultrafilterinteger-valued polynomialsprime spectrumrings of functions

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) Applications of logic to commutative algebra (13L05) Ultraproducts and field theory (12L10)

Related Items

Globalized pseudo-valuation domains of integer-valued polynomials on a subset, Prüfer domains of integer-valued polynomials and the two-generator property, Integer-valued polynomials, Prüfer domains and the stacked bases property

Cites Work

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• Interpolation domains
• Integer-Valued Polynomials
• The prime spectrum of an infinite product of copies of Z