On strong Mori domains
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Publication:1295694
DOI10.1016/S0022-4049(97)00150-3zbMath0943.13017MaRDI QIDQ1295694
Publication date: 3 September 2000
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Hilbert basis theoremKrull intersection theoremprincipal ideal theorem\(w\)-idealsGlaz-Vasconcelos idealGV-idealstrong Mori domains
Integral domains (13G05) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- How far is a Mori domain from being a Krull domain ?
- Integral domains in which each t-ideal is divisorial
- Some remarks on star-operations
- On Pruefer v-multiplication domains
- On Krull domains
- Flat ideals. II
- Ascending chain conditions and star operations
- On t-invertibility II
- Characterizations of *-Multiplication Domains
- Coherent mori domains and the principal ideal theorem
- On w-modules over strong mori domains
- Ont-invertibility III
- Some Results on v-Multiplication Rings
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