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- Q1137087 subject Q5460837.
- Q1137087 subject Q7217289.
- Q1137087 abstract "In number theory an ideal number is an algebraic integer which represents an ideal in the ring of integers of a number field; the idea was developed by Ernst Kummer, and led to Richard Dedekind's definition of ideals for rings. An ideal in the ring of integers of an algebraic number field is principal if it consists of multiples of a single element of the ring, and nonprincipal otherwise. By the principal ideal theorem any nonprincipal ideal becomes principal when extended to an ideal of the Hilbert class field. This means that there is an element of the ring of integers of the Hilbert class field, which is an ideal number, such that the original nonprincipal ideal is equal to the collection of all multiples of this ideal number by elements of this ring of integers that lie in the original field's ring of integers.".
- Q1137087 wikiPageExternalLink fermatslasttheorem.blogspot.com.
- Q1137087 wikiPageExternalLink cyclotomic-integers-ideal-numbers_25.html.
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- Q1137087 wikiPageWikiLink Q5460837.
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- Q1137087 wikiPageWikiLink Q646245.
- Q1137087 wikiPageWikiLink Q6722.
- Q1137087 wikiPageWikiLink Q7217289.
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- Q1137087 wikiPageWikiLink Q76564.
- Q1137087 wikiPageWikiLink Q909669.
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- Q1137087 comment "In number theory an ideal number is an algebraic integer which represents an ideal in the ring of integers of a number field; the idea was developed by Ernst Kummer, and led to Richard Dedekind's definition of ideals for rings. An ideal in the ring of integers of an algebraic number field is principal if it consists of multiples of a single element of the ring, and nonprincipal otherwise.".
- Q1137087 label "Ideal number".