Star-Operations that Distribute Over Finite Intersections

DOI10.1081/AGB-200063586zbMath1099.13003OpenAlexW2087358228MaRDI QIDQ5466688

Sharon M. Clarke, Daniel D. Anderson

Publication date: 25 August 2005

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

Full work available at URL: https://doi.org/10.1081/agb-200063586

zbMATH Keywords

\(v\)-operationlocalizing systemstar-operation

Mathematics Subject Classification ID

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

Related Items (9)

Radical semistar operations ⋮ A Schreier Domain Type Condition II ⋮ Towards a classification of stable semistar operations on a Prüfer domain ⋮ Topological properties of semigroup primes of a commutative ring ⋮ The sets of star and semistar operations on semilocal Prüfer domains ⋮ Note on Star Operations Over Polynomial Rings ⋮ Onv-Domains and Star Operations ⋮ Star operations on modules ⋮ When thev-Operation Distributes over Intersections

Cites Work

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• On strong Mori domains
• On flat overrings, ideal transforms and generalized transforms of a commutative ring
• MULTIPLICATIVELY CLOSED SETS OF IDEALS AND RESIDUAL DIVISION
• Star-operations induced by overrings
• Prüfer ∗ -multiplication domains and torsion theories
• On w-modules over strong mori domains
• Two star-operations and their induced lattices
• Localizing systems, module systems, and semistar operations

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