Strongly divisorial ideals and complete integral closure of an integral domain

DOI10.1016/0021-8693(86)90059-1zbMath0596.13002OpenAlexW2022012531MaRDI QIDQ1078251

Valentina Barucci

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90059-1

zbMATH Keywords

normal domaincomplete integral closureMori domainsstrongly divisorial ideal

Mathematics Subject Classification ID

Extension theory of commutative rings (13B02) Divisibility and factorizations in commutative rings (13A05)

Related Items (24)

Trace Properties and Integral Domains, II ⋮ Domains satisfying the trace property ⋮ How far is a Mori domain from being a Krull domain ? ⋮ On the class group of a Mori domain ⋮ Trace Properties and Pullbacks ⋮ The radical trace property ⋮ RATLIFF–RUSH CLOSURE OF IDEALS IN INTEGRAL DOMAINS ⋮ Domains with the radical trace property and their complete integral closure ⋮ On Mori domains and commutative rings with \(CC^{\perp}\). I ⋮ Class semigroups of integral domains ⋮ Ideal containment in commutative rings ⋮ On the prime spectrum of a mori domain ⋮ A Lipman’s type construction, glueings and complete integral closure ⋮ Noetherian domains in which every ideal is isomorphic to a trace ideal ⋮ When is the dual of an ideal a ring? ⋮ On semi-Krull domains ⋮ Complete Integral Closure and Strongly Divisorial Prime Ideals ⋮ On the set of \(t\)-linked overrings of an integral domain ⋮ t-class semigroups of integral domains ⋮ Some classification of certain integral domains via conductor overrings and semistar operations ⋮ On the complete integral closure of a Mori domain ⋮ On some classes of integral domains with finitely many star operations of finite type ⋮ Invertible and divisorial ideals of generalized Dedekind domains ⋮ TW-domains and strong Mori domains

Cites Work

• Conducive integral domains
• Conducive integral domains as pullbacks
• Rings in which no fixed power of ideal classes becomes invertible
• When the dual of an ideal is a ring
• Global dimension of cartesian squares
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