Prime Ideals in Two-Dimensional Polynomial Rings

DOI10.2307/2048152zbMath0693.13002OpenAlexW4235391108MaRDI QIDQ3035409

Sylvia Wiegand, William J. Heinzer

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2048152

zbMATH Keywords

isomorphic spectra of polynomial ringslocal Henselian domainramification of prime ideal

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Local rings and semilocal rings (13H99) Henselian rings (13J15)

Related Items (17)

Factorization of monic polynomials ⋮ Graphical properties of the bipartite graph of \(\operatorname{Spec}(\mathbb Z[x)\backslash\{0\}\)] ⋮ Substructures of \(\text{Spec}R[X\)] ⋮ Uppers to zero in intersections of prime ideals ⋮ Lifting chains of primes ⋮ Prime Ideals in Polynomial and Power Series Rings over Noetherian Domains ⋮ Prime Ideals That Satisfy Hensel’s Lemma ⋮ Affine and projective lines over one-dimensional semilocal domains ⋮ Locally henselian going-down domains ⋮ Realizing posets as prime spectra of Leavitt path algebras ⋮ On the Compositum of Two Power Series Rings ⋮ Comaximizable Primes ⋮ Commutative ideal theory without finiteness conditions: Primal ideals ⋮ Comaximizing and splitting primes ⋮ Prime Ideals in Polynomial Rings Over One-Dimensional Domains ⋮ The residue fields of a zero-dimensional ring ⋮ 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
• On the joints of Hensel rings
• Homeomorphisms of Affine Surfaces Over a Finite Field
• La Notion D’anneau de Décomposition
• Unnamed Item
• Unnamed Item

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