Prime ideals in birational extensions of two-dimensional polynomial rings

DOI10.1016/j.jpaa.2004.12.046zbMath1091.13004OpenAlexW2015376111MaRDI QIDQ2570669

Sylvia Wiegand, A. Serpil Saydam

Publication date: 28 October 2005

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.12.046

zbMATH Keywords

Specorder-isomorphicorder in an algebraic number field

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Ideals and multiplicative ideal theory in commutative rings (13A15) Ordered rings, algebras, modules (06F25) Algebras and orders, and their zeta functions (11S45)

Related Items (1)

A structural invariant on certain two-dimensional Noetherian partially ordered sets

Cites Work

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• The prime spectrum of a two-dimensional affine domain
• On compactly packed rings
• Four notes on saturated chains of prime ideals
• Intersections of height 2 primes
• Prime ideal posets in Noetherian rings
• Prime ideals in two-dimensional domains over the integers
• A Brief History and Survey of the Catenary Chain Conjectures
• Hilbert rings and the chain condition for prime ideals.
• Homeomorphisms of Affine Surfaces Over a Finite Field
• Examples of Noncatenary Rings
• Prime Ideal Structure in Commutative Rings
• Characterizations of Catenary Rings

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