Enlarging localized polynomial rings while preserving their prime ideal structure

DOI10.1016/j.jalgebra.2021.02.011zbMath1461.13021OpenAlexW3132341692MaRDI QIDQ2662153

Cory H. Colbert

Publication date: 9 April 2021

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2021.02.011

zbMATH Keywords

Noetherian spectra

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items

A locally Nagata PID that is not Nagata ⋮ Uncountable 𝑛-dimensional excellent regular local rings with countable spectra ⋮ Completions of uncountable local rings with countable spectra

Cites Work

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• The prime spectrum of a two-dimensional affine domain
• Intersections of height 2 primes
• Cardinalities of Residue Fields of Noetherian Integral Domains
• On the Chain Problem of Prime Ideals
• Intersections of prime ideals in noetherian rings
• Examples of Noncatenary Rings
• Prime Ideal Structure in Commutative Rings
• Characterizations of Catenary Rings