Prime ideals in infinite products of commutative rings

DOI10.1142/S0219199723500451zbMATH Open1547.13006MaRDI QIDQ6577576

Daniel Windisch, Carmelo Antonio Finocchiaro, Sophie Frisch

Publication date: 24 July 2024

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

maximal idealsprime idealsultrafiltersPrüfer domainsproduct rings

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Ultraproducts and related constructions (03C20) Other special types of modules and ideals in commutative rings (13C13)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• The strong ultrafilter topology on spaces of ideals
• On a topological characterization of Prüfer \(v\)-multiplication domains among essential domains
• The use of ultraproducts in commutative algebra
• Topologically defined classes of commutative rings
• Rings of integer-valued rational functions
• Sequence domains and integer-valued polynomials
• On the spectrum of rings of functions
• Completions, valuations and ultrapowers of Noetherian domains
• Prime ideals in ultraproducts of commutative rings
• Infinite prime avoidance
• Nullstellensatz and Skolem properties for integer-valued polynomials
• Integer-valued polynomials
• Skolem properties for several indeterminates
• The use of ultrafilters to study the structure of Prüfer and Prüfer-like rings
• Characteristic p methods in characteristic zero via ultraproducts
• The Patch Topology and the Ultrafilter Topology on the Prime Spectrum of a Commutative Ring
• The prime spectrum of an infinite product of copies of Z
• Products of Commutative Rings and Zero-Dimensionality
• Polynomes à valeurs entières et propriété de Skolem.
• The Skolem property in rings of integer-valued polynomials
• Prime ideals in the product of commutative rings with identity
• Ideals of integer-valued polynomial rings
• Ultrafilter and Constructible Topologies on Spaces of Valuation Domains

This page was built for publication: Prime ideals in infinite products of commutative rings

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6577576)