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Dedekind domain (Definition)

"Dedekind domain" is owned by mathcam. [ full author list (2) | owner history (1) ]
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See Also: integral closure, Prüfer domain, multiplication ring

Keywords:  Noetherian, finitely generated

Attachments:
ideals in a Dedekind domain (Theorem) by yark
ideal decomposition in Dedekind domain (Topic) by pahio
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Cross-references: algebraic integers, number field, noetherian ring, irreducible, normal, algebraic set, ring, Krull dimension, chain, strictly increasing, length, implies, clause, field of fractions, integrally closed, domain, maximal ideal, prime ideal, finitely generated, ideal, integral domain, commutative
There are 22 references to this entry.

This is version 13 of Dedekind domain, born on 2002-04-19, modified 2006-04-12.
Object id is 2854, canonical name is DedekindDomain.
Accessed 7117 times total.

Classification:
AMS MSC11R04 (Number theory :: Algebraic number theory: global fields :: Algebraic numbers; rings of algebraic integers)
 11R37 (Number theory :: Algebraic number theory: global fields :: Class field theory)

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