The prime spectrum of a two-dimensional affine domain

DOI10.1016/0022-4049(86)90041-1zbMath0592.13002OpenAlexW1972493071MaRDI QIDQ1075374

Roger Wiegand

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0022-4049(86)90041-1

zbMATH Keywords

spectrum of polynomial ring

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Ideals and multiplicative ideal theory in commutative rings (13A15) Relevant commutative algebra (14A05)

Related Items (14)

Graphical properties of the bipartite graph of \(\operatorname{Spec}(\mathbb Z[x)\backslash\{0\}\)] ⋮ Prime Ideals in Two-Dimensional Polynomial Rings ⋮ Substructures of \(\text{Spec}R[X\)] ⋮ New results on pole-shifting for parametrized families of systems ⋮ Enlarging localized polynomial rings while preserving their prime ideal structure ⋮ Prime Ideals in Polynomial and Power Series Rings over Noetherian Domains ⋮ Open Problems in Commutative Ring Theory ⋮ A structural invariant on certain two-dimensional Noetherian partially ordered sets ⋮ Affine and projective lines over one-dimensional semilocal domains ⋮ Realizing posets as prime spectra of Leavitt path algebras ⋮ Prime Ideals in Birational Extensions of Two-Dimensional Power Series Rings ⋮ Prime Ideals in Polynomial Rings Over One-Dimensional Domains ⋮ Prime ideals in two-dimensional domains over the integers ⋮ Prime ideals in birational extensions of two-dimensional polynomial rings

Cites Work

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• On compactly packed rings
• Vector bundles over affine surfaces
• Homeomorphisms of Affine Surfaces Over a Finite Field
• Introduction to Algebraic K-Theory. (AM-72)
• Integral domains with quotient overrings

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