The residue fields of a zero-dimensional ring

DOI10.1016/S0022-4049(97)00044-3zbMath0932.13005MaRDI QIDQ1295539

Roger Wiegand, William J. Heinzer, David C. Lantz

Publication date: 8 March 2000

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

zbMATH Keywords

field extensionBoolean spaceresidue fieldszero-dimensional ring

Mathematics Subject Classification ID

Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Rings of fractions and localization for commutative rings (13B30) Field extensions (12F99)

Related Items (1)

Zero-divisor graphs, von Neumann regular rings, and Boolean algebras.

Cites Work

• The family of residue fields of a zero-dimensional commutative ring
• PID's with specified residue fields
• Prime Ideals in Two-Dimensional Polynomial Rings
• Products of Commutative Rings and Zero-Dimensionality
• Dimension functions on the prime spectrum
• Modules over universal regular rings
• Globalization theorems for locally finitely generated modules
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