Prüfer ∗ -multiplication domains and torsion theories

DOI10.1080/00927879908826493zbMath0919.13002OpenAlexW2139590647MaRDI QIDQ4236937

Josefa M. García, Eva Santos, Pascual Jara

Publication date: 19 August 1999

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

Full work available at URL: https://doi.org/10.1080/00927879908826493

zbMATH Keywords

flat moduleshereditary torsion theoriesfractional idealsstar-operationsPrüfer \(v\)-multiplication domains

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Torsion modules and ideals in commutative rings (13C12)

Related Items (9)

ON A CLASS OF PRUFER -MULTIPLICATION DOMAINS ⋮ Semistar Linkedness and Flatness, Prüfer Semistar Multiplication Domains ⋮ Semistar Dedekind domains ⋮ Almost Dedekind domains without radical factorization ⋮ Star-Operations that Distribute Over Finite Intersections ⋮ Onv-Domains and Star Operations ⋮ PRÜFER ⋆-MULTIPLICATION DOMAINS AND SEMISTAR OPERATIONS ⋮ Descending chains of semistar operations ⋮ When thev-Operation Distributes over Intersections

Cites Work

• Unnamed Item
• A relative version of the Chase-Harrison-Rosenberg sequence
• How far is a Mori domain from being a Krull domain ?
• Prüfer v-multiplication domains and the ring \(R[X_{N_ v}\)]
• Ascending chain conditions and star operations
• Star-operations induced by overrings
• Some Results on v-Multiplication Rings

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