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[parent] proof that a domain is Dedekind if its ideals are products of primes (Proof)
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"proof that a domain is Dedekind if its ideals are products of primes" is owned by gel.
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See Also: Dedekind domain, prime ideal

Keywords:  Dedekind domain, prime ideal, invertible ideal

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Cross-references: prime, argument, sides, intersection, factors, prime ideal factorization is unique, contained, strictly, equations, ideal, image, inclusions, implies, maximal ideal is prime, proof that a domain is Dedekind if its ideals are products of maximals, equivalence, prime ideals, maximal ideals, product, proper ideal, Dedekind domain, the following are equivalent, integral domain
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This is version 2 of proof that a domain is Dedekind if its ideals are products of primes, born on 2008-12-06, modified 2009-01-07.
Object id is 11311, canonical name is ProofThatADomainIsDedekindIfItsIdealsAreProductsOfPrimes.
Accessed 269 times total.

Classification:
AMS MSC13F05 (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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