Idempotence and Divisoriality in Prüfer-Like Domains

DOI10.1007/978-3-030-43416-8_9zbMath1440.13086arXiv1811.09210OpenAlexW3033117225MaRDI QIDQ5119697

Marco Fontana, Mi Hee Park, Evan G. jun. Houston

Publication date: 1 September 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.09210

zbMATH Keywords

semistar operationNagata ringdivisorial idealidempotent idealPrüfer \(\star\)-multiplication domain

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (2)

ES-w-stability ⋮ On \(\star\)-potent domains and \(\star\)-homogeneous ideals

Cites Work

• Factoring ideals in integral domains
• Some polynomial characterizations of Prüfer v-multiplication domains
• Prüfer v-multiplication domains and the ring \(R[X_{N_ v}\)]
• Overrings of Prüfer domains
• Overrings of Prüfer domains. II
• Integer-Valued Polynomials
• Toward a classification of prime ideals in Prüfer domains
• Nagata Rings, Kronecker Function Rings, and Related Semistar Operations
• PRÜFER ⋆-MULTIPLICATION DOMAINS AND SEMISTAR OPERATIONS
• Sharpness and semistar operations in Prüfer-like domains
• Integral Domains Which are Almost Dedekind
• On the Ideal Theory of the Kronecker Function Ring and the Domain D(X)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Idempotence and Divisoriality in Prüfer-Like Domains