Cardinalities of Residue Fields of Noetherian Integral Domains

DOI10.1080/00927870903200893zbMath1204.13012OpenAlexW2088020364MaRDI QIDQ3060817

Keith A. Kearnes, Greg G. Oman

Publication date: 10 December 2010

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

Full work available at URL: https://doi.org/10.1080/00927870903200893

zbMATH Keywords

integral domainNoetherian ringprime spectrumresidue fieldGeneralized Continuum Hypothesis

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Polynomials over commutative rings (13B25) Local rings and semilocal rings (13H99)

Related Items (9)

Residually small commutative rings ⋮ Enlarging localized polynomial rings while preserving their prime ideal structure ⋮ Prime Ideals in Polynomial and Power Series Rings over Noetherian Domains ⋮ Countably coverable rings ⋮ Jonsson and HS modules over commutative rings ⋮ Prime Ideals in Birational Extensions of Two-Dimensional Power Series Rings ⋮ SMALL AND LARGE IDEALS OF AN ASSOCIATIVE RING ⋮ Modules Which are Isomorphic to Their Factor Modules ⋮ On the existence of maximal subrings in commutative noetherian rings

Cites Work

• Handbook of Set Theory
• One-dimensional semilocal rings with residue domains of prescribed cardinalities
• Affine and projective lines over one-dimensional semilocal domains
• Unnamed Item

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