The family of residue fields of a zero-dimensional commutative ring

DOI10.1016/0022-4049(92)90117-XzbMath0782.13014MaRDI QIDQ1208191

Robert Gilmer, William J. Heinzer

Publication date: 16 May 1993

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

zbMATH Keywords

finite fieldscharacteristic \(p\)family of residue fields of a commutative zero-dimensional ring

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Rings of fractions and localization for commutative rings (13B30) General field theory (12E99)

Related Items (8)

Zero-divisor graphs, von Neumann regular rings, and Boolean algebras. ⋮ One-dimensional semilocal rings with residue domains of prescribed cardinalities ⋮ Every local ring is dominated by a one-dimensional local ring ⋮ ARTINIAN SUBRINGS OF PRODUCT OF ZERO-DIMENSIONAL RINGS ⋮ The ideal theory of intersections of prime divisors dominating a normal Noetherian local domain of dimension two ⋮ On the transfer of the notion directed union of Artinian subrings ⋮ The residue fields of a zero-dimensional ring ⋮ Commutative rings with periodic multiplicative semigroup

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Jónsson \(\omega _ 0\)-generated algebraic field extensions
• Sur la structure des anneaux absoluments plats commutatifs
• On strongly πregular rings and homomorphisms into them
• Some Countability Conditions on Commutative Ring Extensions
• Products of Commutative Rings and Zero-Dimensionality
• Zero-Dimensionality in Commutative Rings
• On the imbedding of a regular ring in a regular ring with identity
• The Gluing of Maximal Ideals-Spectrum of a Noetherian Ring-Going up and Going Down in Polynomial Rings
• Modules over universal regular rings
• Globalization theorems for locally finitely generated modules

This page was built for publication: The family of residue fields of a zero-dimensional commutative ring