The Local Class Group of a Krull Domain

DOI10.4153/CMB-1983-003-1zbMath0458.13007MaRDI QIDQ3907666

Alain Bouvier

Publication date: 1983

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

Picard groupKrull domainlocal class grouplocally factorial domain

Mathematics Subject Classification ID

Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Picard groups (14C22) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (14)

General w-ZPI-Rings and a Tool for Characterizing Certain Classes of Monoid Rings ⋮ Locally almost factorial integral domains ⋮ The rings R(X) and \(R<X>\) ⋮ The class group of \(D+M\) ⋮ Ten Problems on Stability of Domains ⋮ Open Problems in Commutative Ring Theory ⋮ A general theory of class groups ⋮ On finitely stable domains. I ⋮ Semistar Invertibility on Integral Domains ⋮ The \(A+ XB[X\) and \(A+ XBX\) constructions from \(GCD\)-domains] ⋮ The local \(S\)-class group of an integral domain ⋮ On Nagata's theorem for the class group ⋮ On the class group of a pullback ⋮ Domains whose ideals meet a universal restriction

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