t-splitting multiplicative sets of ideals in integral domains

DOI10.1016/j.jpaa.2004.08.033zbMath1077.13002OpenAlexW1987562691MaRDI QIDQ1772256

Muhammad Zafrullah, Gyu Whan Chang, Tiberiu Dumitrescu

Publication date: 18 April 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.08.033

zbMATH Keywords

Krull domain\(t\)-idealPVMDmultiplicative set of ideals

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (1)

The \(A + X B [X\) construction from Prüfer \(v\)-multiplication domains]

Cites Work

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• On the converse of a well-known fact about Krull domains
• Prüfer v-multiplication domains and the ring \(R[X_{N_ v}\)]
• Some remarks on star-operations
• Splitting the t-class group
• \(t\)-splitting sets in integral domains.
• On flat overrings, ideal transforms and generalized transforms of a commutative ring
• On t-invertibility II
• Star-operations induced by overrings
• The class group of a strongly mori domain
• Some Results on v-Multiplication Rings
• Rings of Krull type.

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