Pseudo-Dedekind domains and divisorial ideals in \(R[X]_ T\)

DOI10.1016/0021-8693(89)90219-6zbMath0698.13004OpenAlexW1978620746MaRDI QIDQ912154

Daniel D. Anderson, Byung Gyun Kang

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90219-6

zbMATH Keywords

polynomial ringpseudo-Dedekind domainring of rational functions

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (16)

Fuzzy star-operations on an integral domain. ⋮ Revisiting G-Dedekind domains ⋮ Prüfer rings in a certain pullback ⋮ Kronecker Function Rings of Transcendental Field Extensions ⋮ Group-theoretic and topological invariants of completely integrally closed Prüfer domains ⋮ A Schreier Domain Type Condition II ⋮ \((t,v)\)-Dedekind domains and the ring \(R[X_{N_{v}}\)] ⋮ Group rings which are G-Dedekind prime rings ⋮ On Krull domains ⋮ Unique representation domains. II. ⋮ On generalized Dedekind prime rings. ⋮ On Rings Whose Reflexive Ideals are Principal ⋮ Characterization of Prüfer-Like Monoids and Domains by GCD-Theories ⋮ Ore Extensions Over PI G-Dedekind Prime Rings ⋮ Multiplicative Ideal Theory in Noncommutative Rings ⋮ Onv-Domains and Star Operations

Cites Work

• The rings R(X) and \(R<X>\)
• Idéaux divisoriels d'un anneau de polynômes
• Divisorial ideals and invertible ideals in a graded integral domain
• On generalized Dedekind domains
• On a property of pre-schreier domains
• Globalization of Some Local Properties in Krull Domains
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