Locally factorial integral domains

DOI10.1016/0021-8693(84)90214-XzbMath0545.13007MaRDI QIDQ797639

David F. Anderson, Daniel D. Anderson

Publication date: 1984

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

zbMATH Keywords

finitely generated nonzero divisor class grouplocally factorial Dedekind domainlocally factorial Krull domain

Mathematics Subject Classification ID

Integral domains (13G05) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Theory of modules and ideals in commutative rings (13C99)

Related Items (7)

Locally almost factorial integral domains ⋮ Some remarks on star operations and the class group ⋮ A lower bound for the spectrum of a one-dimensional pseudo-differential operatoe class group ⋮ Overring of half-factorial domains. II ⋮ \((t,v)\)-Dedekind domains and the ring \(R[X_{N_{v}}\)] ⋮ \(t\)-splitting sets in integral domains. ⋮ On S-GCD domains

Cites Work

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• Some finiteness and divisibility conditions on the proper overrings of an integral domain
• The divisor class group of a semigroup ring
• π-domains, overrings, and divisorial ideals
• Prime Elements and Prime Sequences in Polynomial Rings
• Pairs of Rings with the Same Prime Ideals
• On the Distribution of Prime Elements in Polynomial Krull Domains
• Summands of Separable Abelian Groups: Dedicated to Paul Turán on his 60th Birthday

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