A geometric setting for some properties of torsion-free modules.

DOI10.1216/RMJM/1181070023zbMath1035.13006OpenAlexW2085796267MaRDI QIDQ1414996

Bruce Olberding

Publication date: 3 December 2003

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol32-4/CONT32-4/CONT32-4.html

zbMATH Keywords

Krull-Schmidt propertyintegral domaintorsion-free modules

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05)

Related Items (1)

The Krull-Schmidt property for ideals and modules over integral domains.

Cites Work

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• Picard groups of singular affine curves over a perfect field
• Warfield domains
• Globalizing local properties of Prüfer domains
• The Krull-Schmidt property for ideals and modules over integral domains.
• Dedekind-like behavior of rings with 2-generated ideals
• Warfield domains: module theory from linear algebra to commutative algebra through abelian groups
• Stability, duality, 2-generated ideals and a canonical decomposition of modules
• On the ubiquity of Gorenstein rings
• On the Valuations Centered in a Local Domain
• Homeomorphisms of Affine Surfaces Over a Finite Field
• Almost maximal prüfer domains
• Factorization into Prime and Invertible Ideals
• ON THE STRUCTURE OF STABLE DOMAINS
• Stable rings and a problem of Bass
• Unique decompositions into ideals for noetherian domains.

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