Globalization of Some Local Properties in Krull Domains

DOI10.2307/2044267zbMath0498.13009OpenAlexW4249121167MaRDI QIDQ3963126

Daniel D. Anderson

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/2044267

zbMATH Keywords

divisor class groupintegral domainv-ideallocally principalinvertible idealalmost factorial Krull domain

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Other special types of modules and ideals in commutative rings (13C13) Divisibility and factorizations in commutative rings (13A05)

Related Items

General w-ZPI-Rings and a Tool for Characterizing Certain Classes of Monoid Rings, Locally almost factorial integral domains, The rings R(X) and \(R<X>\), On the class group of a Mori domain, On locally AGCD domains, On the converse of a well-known fact about Krull domains, Commutative rings whose prime ideals are radically perfect, Pseudo-Dedekind domains and divisorial ideals in \(R[X_ T\)], Characterizing domains of finite \(*\)-character, Factorization in commutative rings with zero divisors, Formal power series rings over a \(\pi \)-domain, Unique factorization of ideals in commutative rings with zero divisors, Domains whose ideals meet a universal restriction

Cites Work

• Graded π-rings
• A note on locally factorial noetherian domains^∗
• π-domains, overrings, and divisorial ideals
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