Well-centered overrings of an integral domain.

DOI10.1016/S0021-8693(03)00462-9zbMath1040.13002arXivmath/0306322MaRDI QIDQ1427356

Moshe Roitman, William J. Heinzer

Publication date: 14 March 2004

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

Full work available at URL: https://arxiv.org/abs/math/0306322

zbMATH Keywords

flatnesslocalizationflat extensionsublocalizationwell-centered overrings

Mathematics Subject Classification ID

Integral domains (13G05) Extension theory of commutative rings (13B02) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (13)

Topological properties of localizations, flat overrings and sublocalizations ⋮ Blowing up finitely supported complete ideals in a regular local ring ⋮ Ideal class semigroups of overrings ⋮ The derived sequence of a pre-Jaffard family ⋮ 2-AB rings and 2-absorbing rings ⋮ Various properties of a general class of integer-valued polynomials ⋮ Perinormality -- a generalization of Krull domains ⋮ On some classes of integral domains defined by Krull's \(a.b.\) operations ⋮ Ideal theory of infinite directed unions of local quadratic transforms ⋮ WELL-CENTERED PAIRS OF RINGS ⋮ Infinite prime avoidance ⋮ New Distinguished Classes of Spectral Spaces: A Survey ⋮ Semistar Operations on Dedekind Domains

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