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equivalent characterizations of Dedekind domains
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"equivalent characterizations of Dedekind domains" is owned by gel.
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Cross-references: noetherian rings, proof that a Noetherian domain is Dedekind if it is locally a PID, Prüfer domains, module, implies, submodules, invertible ideals are projective, proof that a domain is Dedekind if its ideals are products of primes, proof that a domain is Dedekind if its ideals are products of maximals, conversely, terms, unique factorization, proof that a domain is Dedekind if its ideals are invertible, equivalence, ring, prime factorization, factors, primes, decomposition, properties, principal ideal domain, localization, torsion-free, finitely generated, ideal, maximal ideals, product, proper ideal, Noetherian, the following are equivalent, theorem, characterizations, prime ideal, domains, integrally closed, Dedekind domains
This is version 7 of equivalent characterizations of Dedekind domains, born on 2008-12-02, modified 2009-01-07.
Object id is 11298, canonical name is EquivalentCharacterizationsOfDedekindDomains.
Accessed 489 times total.
Classification:
| AMS MSC: | 13F05 (Commutative rings and algebras :: Arithmetic rings and other special rings :: Dedekind, Prüfer and Krull rings and their generalizations) | | | 13A15 (Commutative rings and algebras :: General commutative ring theory :: Ideals; multiplicative ideal theory) |
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Pending Errata and Addenda
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