Star operations in extensions of integral domains

DOI10.5802/acirm.39zbMath1439.13022OpenAlexW2328572632MaRDI QIDQ4682437

David F. Anderson, Muhammad Zafrullah, Saïd El Baghdadi

Publication date: 18 September 2018

Published in: Actes des rencontres du CIRM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/acirm.39

zbMATH Keywords

Prüfer domainstar operation\(t\)-linkeddomain extensions\(t\)-compatiblestrongly \(t\)-compatible

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Extension theory of commutative rings (13B02)

Cites Work

• Well behaved prime t-ideals
• The radical trace property
• Prüfer v-multiplication domains and the ring \(R[X_{N_ v}\)]
• The class group of \(D+M\)
• Integral domains in which each t-ideal is divisorial
• Idéaux divisoriels d'un anneau de polynômes
• Some remarks on star-operations
• When the dual of an ideal is a ring
• \(D+M\) constructions with general overrings
• On finite conductor domains
• The construction \(D+XD_s[X\)]
• Mori domains of integer-valued polynomials
• On the class group and the local class group of a pullback
• \(t\)-linked extensions, the \(t\)-class group, and Nagata's theorem
• Intersections of quotient rings of an integral domain
• On flat overrings, ideal transforms and generalized transforms of a commutative ring
• Overrings and divisorial ideals of rings of the form \(D+M\)
• t-Linked overrings and prüfer v-multiplication domains
• A general theory of class groups
• Star-operations induced by overrings
• On t-linked overrings
• Sur Les Anneaux Reflexifs
• The class group of a strongly mori domain
• Overrings of Commutative Rings. II. Integrally Closed Overrings
• Integral Domains in Which Each Ideal Is aW-Ideal
• Generalized Quotient Rings
• Quotient overrings of integral domains
• Integral domains with quotient overrings
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