Dedekind domain > Related Articles
From Citizendium, the Citizens' Compendium
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Parent topics
- Noetherian ring [r]: A ring satisfying the ascending chain condition on ideals; equivalently a ring in which every ideal is finitely generated. [e]
- integral domain [r]: A commutative ring in which the product of two non-zero elements is again non-zero. [e]
- integral closure [r]: The ring of elements of an extension of a ring which satisfy a monic polynomial over the base ring. [e]
Subtopics
Other related topics
- field of fractions [r]: Add brief definition or description
- fractional ideal [r]: Add brief definition or description
- maximal ideal [r]: Add brief definition or description
- Richard Dedekind [r]: Add brief definition or description
- prime ideal [r]: Add brief definition or description
- unique factorization [r]: Every positive integer can be expressed as a product of prime numbers in essentially only one way. [e]
- unique factorization domain [r]: Add brief definition or description
- class group [r]: Add brief definition or description
