Dedekind domain/Related Articles: Difference between revisions
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imported>Barry R. Smith m (→Parent topics) |
imported>Barry R. Smith m (→Parent topics) |
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{{r|Noetherian ring}} | {{r|Noetherian ring}} | ||
{{r|integral domain}} | {{r|integral domain}} | ||
{{r|integral closure}} | |||
==Subtopics== | ==Subtopics== | ||
Revision as of 11:55, 29 November 2008
- See also changes related to Dedekind domain, or pages that link to Dedekind domain or to this page or whose text contains "Dedekind domain".
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
- Field of fractions [r]: Add brief definition or description
- Fractional ideal [r]: Add brief definition or description
- Integral closure [r]: The ring of elements of an extension of a ring which satisfy a monic polynomial over the base ring. [e]
- 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