Universal property of the Kaplansky ideal transform and affineness of open subsets

DOI10.1016/S0022-4049(01)00174-8zbMath1094.13038OpenAlexW2120410147MaRDI QIDQ1612162

Marco Fontana, Nicolae Popescu

Publication date: 22 August 2002

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

Full work available at URL: https://doi.org/10.1016/s0022-4049(01)00174-8

zbMATH Keywords

Kaplansky transformNagata transform

Mathematics Subject Classification ID

Morphisms of commutative rings (13B10) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Theory of modules and ideals in commutative rings (13C99)

Related Items (1)

Flat epimorphisms and a generalized Kaplansky ideal transform

Cites Work

• The S-transform and the ideal transform
• Sur les ouverts affines d'un schema affine
• Finiteness of ideal transforms
• Cohomological dimension of algebraic varieties
• On the localization ring of a ring
• On flat overrings, ideal transforms and generalized transforms of a commutative ring
• A treatise on the 14-th problem of Hilbert
• NAGATA TRANSFORMS AND LOCALIZING SYSTEMS
• Des catégories abéliennes
• On integral domains whose overrings are Kaplansky ideal transforms
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