On integral domains whose overrings are Kaplansky ideal transforms

DOI10.1016/S0022-4049(00)00185-7zbMath1094.13500WikidataQ126537181 ScholiaQ126537181MaRDI QIDQ5946831

Evan G. jun. Houston, Marco Fontana

Publication date: 2001

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

zbMATH Keywords

Kaplansky transformNagata transform

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (5)

NAGATA TRANSFORMS AND LOCALIZING SYSTEMS ⋮ INTEGRAL DOMAINS WHOSE SIMPLE OVERRINGS ARE INTERSECTIONS OF LOCALIZATIONS ⋮ Commutative ideal theory without finiteness conditions: Completely irreducible ideals ⋮ Maximal non-treed subring of its quotient field ⋮ Universal property of the Kaplansky ideal transform and affineness of open subsets

Cites Work

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• The S-transform and the ideal transform
• Divided rings and going-down
• Pseudo-valuation domains
• Overrings of Prüfer domains
• The pseudo-radical of a commutative ring
• Intersections of quotient rings of an integral domain
• The Ordering of Spec R
• The prime spectrum of a bezout ring
• Integral domains whose overrings are ideal transforms
• Domains of KRULL Type and Ideal Transforms

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