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[parent] proof that a domain is Dedekind if its ideals are products of maximals (Proof)
ProofThatADomainIsDedekindIfItsIdealsAreProductsOfMaximals

"proof that a domain is Dedekind if its ideals are products of maximals" is owned by gel.
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See Also: Dedekind domain, maximal ideal, fractional ideal

Keywords:  Dedekind domain, maximal ideal, invertible ideal

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Cross-references: equality, contained, strictly, set inclusion, partial order, proof by contradiction, ideals, prime, factors, principal ideal, proof that a domain is Dedekind if its ideals are invertible, integral ideal, characterization, maximal ideals, product, proper ideal, Dedekind domain, integral domain
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This is version 2 of proof that a domain is Dedekind if its ideals are products of maximals, born on 2008-12-06, modified 2009-01-07.
Object id is 11310, canonical name is ProofThatADomainIsDedekindIfItsIdealsAreProductsOfMaximals.
Accessed 303 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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