Every local ring is dominated by a one-dimensional local ring

DOI10.1090/S0002-9939-97-03847-1zbMath0882.13009MaRDI QIDQ4372358

Robert Gilmer, William J. Heinzer

Publication date: 11 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

local extension ring

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Extension theory of commutative rings (13B02) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Local rings and semilocal rings (13H99)

Cites Work

• Ideals contracted from a Noetherian extension ring
• The family of residue fields of a zero-dimensional commutative ring
• Imbeddability of a commutative ring in a finite-dimensional ring
• Artinian Subrings of a Commutative Ring
• The Noetherian Property for Quotient Rings of Infinite Polynomial Rings
• Ideal theory in two-dimensional regular local domains and birational extensions
• Discrete valuation overrings of Noetherian domains
• La Notion D’anneau de Décomposition
• On the Structure and Ideal Theory of Complete Local Rings
• The Gluing of Maximal Ideals-Spectrum of a Noetherian Ring-Going up and Going Down in Polynomial Rings
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