Dedekind domain/Related Articles: Difference between revisions
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imported>Jitse Niesen (start) |
imported>Barry R. Smith mNo edit summary |
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==Parent topics== | ==Parent topics== | ||
{{r|Noetherian domain}} | {{r|Noetherian ring}} | ||
{{r|integral domain}} | |||
{{r|integral closure}} | |||
==Subtopics== | ==Subtopics== | ||
{{r| | {{r|principal ideal domain}} | ||
==Other related topics== | ==Other related topics== | ||
{{r| | {{r|field of fractions}} | ||
{{r| | {{r|fractional ideal}} | ||
{{r| | {{r|maximal ideal}} | ||
{{r|Richard Dedekind}} | {{r|Richard Dedekind}} | ||
{{r| | {{r|prime ideal}} | ||
{{r| | {{r|unique factorization}} | ||
{{r| | {{r|unique factorization domain}} | ||
{{r|class group}} | |||
Latest revision as of 13:02, 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
- 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