Ring-Theoretic Properties of PvMDs

DOI10.1080/00927870601169283zbMath1118.13021arXivmath/0607125OpenAlexW2014911666MaRDI QIDQ3446657

Stefania Gabelli, Saïd El Baghdadi

Publication date: 19 June 2007

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

Full work available at URL: https://arxiv.org/abs/math/0607125

zbMATH Keywords

stabilityPrüfer \(v\)-multiplication domainradical trace propertydivisoriality\#-property

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (12)

Duals and Transforms of Ideals in PVMDs ⋮ Star stable domains ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Finitely Stable Rings ⋮ Unique representation domains. II. ⋮ ES-w-stability ⋮ Minimal prime ideals and semistar operations ⋮ Generalized Krull Semigroup Rings ⋮ Generic formal fibers and analytically ramified stable rings ⋮ A note on generalized Krull domains ⋮ Ideal factorization in strongly discrete independent rings of Krull type

Cites Work

• Unnamed Item
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• Some Results on v-Multiplication Rings
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• Stable rings and a problem of Bass
• On the classification of stable domains

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