Pic\(R[X, X^{-1}]\) for \(R\) a one-dimensional reduced Noetherian ring

DOI10.1016/0022-4049(91)90143-PzbMath0797.19002MaRDI QIDQ1175526

Teruo Asanuma

Publication date: 25 June 1992

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

zbMATH Keywords

Noetherian ringseminormalityfinite normalizationnatural decomposition of Picard group

Mathematics Subject Classification ID

Picard groups (14C22) Grothendieck groups and (K_0) (19A99) Negative (K)-theory, NK and Nil (19D35) Grothendieck groups, (K)-theory and commutative rings (13D15)

Related Items

Anneauxt-clos, Anodality, Some Results about Projective Modules over Monoid Algebras, Subintegrality, invertible modules and Laurent polynomial extensions

Cites Work

• Remarks on quasinormal rings
• Seminormality and quasinormality of group rings
• Pic is a contracted functor
• Grothendieck groups and Picard groups of abelian group rings
• On the joints of Hensel rings
• On seminormality
• Projective modules over polynomial rings
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