The S-transform and the ideal transform

DOI10.1016/0021-8693(79)90219-9zbMath0427.13007OpenAlexW2094537618MaRDI QIDQ1136809

James H. Hays

Publication date: 1979

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(79)90219-9

zbMATH Keywords

integral domainKrull domainsS-transformPrüfer domainsideal transformS- transform

Mathematics Subject Classification ID

Integral domains (13G05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Rings of fractions and localization for commutative rings (13B30)

Related Items (15)

Duals and Transforms of Ideals in PVMDs ⋮ GENERALLY t-LINKATIVE DOMAINS ⋮ NAGATA TRANSFORMS AND LOCALIZING SYSTEMS ⋮ INTEGRAL DOMAINS WHOSE SIMPLE OVERRINGS ARE INTERSECTIONS OF LOCALIZATIONS ⋮ Ideal transforms and local cohomology defined by a pair of ideals ⋮ Maximal subrings of classical integral domains ⋮ Intermediary rings in normal pairs ⋮ An algorithm for computing the number of intermediary rings in normal pairs ⋮ On λ-extensions of commutative rings ⋮ Toward a classification of prime ideals in Prüfer domains ⋮ On integral domains whose overrings are Kaplansky ideal transforms ⋮ Minimal Overrings of an Integrally Closed Domain ⋮ The \(S\)-transform and its dual with applications to Prüfer extensions ⋮ Cofiniteness of torsion functors of ideal transforms ⋮ Universal property of the Kaplansky ideal transform and affineness of open subsets

Cites Work

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• Overrings of Prüfer domains. II
• The ideal transform and overrings of an integral domain
• On flat overrings, ideal transforms and generalized transforms of a commutative ring
• The transform formula for ideals
• A treatise on the 14-th problem of Hilbert
• Integral domains whose overrings are ideal transforms

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