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proof that a domain is Dedekind if its ideals are invertible
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(Proof)
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"proof that a domain is Dedekind if its ideals are invertible" is owned by gel.
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Cross-references: ring, finitely generated, inverse, subset, without loss of generality, equality, proper ideal, contained, strictly, set inclusion, partial order, maximal element, primes, proof by contradiction, contains, converse, coefficients, contradiction, invertible ideal, maximal ideal, Noetherian, invertible ideal is finitely generated, implies, equivalent, integral ideal, element, product, fractional ideal, ideal, prime ideal, integrally closed, the following are equivalent, field of fractions, integral domain
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This is version 2 of proof that a domain is Dedekind if its ideals are invertible, born on 2008-12-06, modified 2008-12-06.
Object id is 11306, canonical name is ProofThatADomainIsDedekindIfItsIdealsAreInvertible.
Accessed 354 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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