On the class group of a pullback

DOI10.1016/S0022-4049(01)00077-9zbMath1049.13006MaRDI QIDQ1602647

Saïd El Baghdadi

Publication date: 24 June 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Picard groupclass groupintegral domainpullbacklocal class group

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Class groups (13C20)

Related Items (4)

Arithmetic properties in pullbacks ⋮ Almost splitting sets in integral domains ⋮ The Class Group of Pullbacks ⋮ On the star class group of a pullback

Cites Work

• Construction B, I, D et anneaux localement ou residuellement de Jaffard. (B, I, D construction and locally or residually Jaffard rings)
• Subrings of \(K[y_ 1,\dots ,y_ t\) of the type \(D+I\)]
• The \(D+XD_ s[X\) construction from GCD-domains]
• Couples d'anneaux partageant un idéal. (Couples of rings sharing an ideal)
• The class group of \(D+M\)
• On the class group and the local class group of a pullback
• \(t\)-linked extensions, the \(t\)-class group, and Nagata's theorem
• A general theory of class groups
• The Local Class Group of a Krull Domain
• Sur quelques propriétés des sous-anneaux de la forme D+I dun anneau intègre
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