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PID and UFD are equivalent in a Dedekind domain
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(Theorem)
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| PIDAndUFDAreEquivalentInADedekindRing |
"PID and UFD are equivalent in a Dedekind domain" is owned by rm50. [ full author list (2) ]
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Cross-references: Krull dimension, ideal generated by, prime, integers, positive, irreducibles, units, proper ideal, prime ideal, unique factorization and ideals in ring of integers, implies, PID, UFD, Dedekind domain
This is version 4 of PID and UFD are equivalent in a Dedekind domain, born on 2008-03-09, modified 2008-04-30.
Object id is 10384, canonical name is PIDAndUFDAreEquivalentInADedekindRing.
Accessed 745 times total.
Classification:
| AMS MSC: | 13A15 (Commutative rings and algebras :: General commutative ring theory :: Ideals; multiplicative ideal theory) | | | 11N80 (Number theory :: Multiplicative number theory :: Generalized primes and integers) | | | 13G05 (Commutative rings and algebras :: Integral domains) | | | 16D25 (Associative rings and algebras :: Modules, bimodules and ideals :: Ideals) |
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Pending Errata and Addenda
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