Locally almost factorial integral domains

DOI10.1016/0021-8693(87)90204-3zbMath0609.13012OpenAlexW2019602314MaRDI QIDQ1086631

David F. Anderson, Daniel D. Anderson

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90204-3

zbMATH Keywords

divisor class groupalmost 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)

Cites Work

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• Locally factorial integral domains
• The rings R(X) and \(R<X>\)
• On the ideal class group of a flat overring
• On a special class of Dedekind domains
• On proper of integral domains
• Specified relations in the ideal group
• Finite Intersections of Pid or Factorial Overrings
• Some finiteness and divisibility conditions on the proper overrings of an integral domain
• The divisor class group of a semigroup ring
• Krull Semigroups and Divisor Class Groups
• The Local Class Group of a Krull Domain
• On seminormal overrings
• Globalization of Some Local Properties in Krull Domains
• π-domains, overrings, and divisorial ideals
• A Characterization of General Z.P.I.-Rings

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