A Description of Ideals in Noetherian Rings

DOI10.1081/AGB-120022212zbMath1043.03031MaRDI QIDQ4414315

Luis F. Caceres-Duque, George C. Nelson

Publication date: 24 July 2003

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

zbMATH Keywords

limitsultraproductidealsNoetherian ringpatch topologycomplete theoriessuccessor ordinalCantor rankKrull rankTikhonov product topology

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Commutative Noetherian rings and modules (13E05) Applications of logic to commutative algebra (13L05)

Related Items

LIMITS OF METABELIAN GROUPS ⋮ The Patch Topology and the Ultrafilter Topology on the Prime Spectrum of a Commutative Ring ⋮ THE SPACE OF FINITELY GENERATED RINGS

Cites Work

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• Boolean algebras with ordered bases
• Commutative rings whose finitely generated modules decompose
• A general theory of structure spaces with applications to spaces of prime ideals