Prime Ideals in Polynomial Rings Over One-Dimensional Domains

DOI10.2307/2154906zbMath0854.13012OpenAlexW4246917796MaRDI QIDQ4318466

Sylvia Wiegand, William J. Heinzer

Publication date: 23 January 1995

Full work available at URL: https://doi.org/10.2307/2154906

zbMATH Keywords

semilocal integral domainsspectrum of a polynomial ring

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) Local rings and semilocal rings (13H99)

Related Items (2)

Graphical properties of the bipartite graph of \(\operatorname{Spec}(\mathbb Z[x)\backslash\{0\}\)] ⋮ Prime ideals in two-dimensional domains over the integers

Cites Work

• The prime spectrum of a two-dimensional affine domain
• Intersections of height 2 primes
• Rings with Noetherian spectrum
• A note on the dimension theory of rings
• Prime Ideals in Two-Dimensional Polynomial Rings
• Homeomorphisms of Affine Surfaces Over a Finite Field
• Noetherian Intersections of Integral Domains
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