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- Ideal_number 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.".
- Ideal_number wikiPageExternalLink fermatslasttheorem.blogspot.com.
- Ideal_number wikiPageExternalLink cyclotomic-integers-ideal-numbers_25.html.
- Ideal_number wikiPageID "523968".
- Ideal_number wikiPageLength "6841".
- Ideal_number wikiPageOutDegree "35".
- Ideal_number wikiPageRevisionID "675008790".
- Ideal_number wikiPageWikiLink Abstract_algebra.
- Ideal_number wikiPageWikiLink Algebraic_geometry.
- Ideal_number wikiPageWikiLink Algebraic_integer.
- Ideal_number wikiPageWikiLink Algebraic_number_field.
- Ideal_number wikiPageWikiLink Carl_Friedrich_Gauss.
- Ideal_number wikiPageWikiLink Carl_Gustav_Jacob_Jacobi.
- Ideal_number wikiPageWikiLink Category:Number_theory.
- Ideal_number wikiPageWikiLink Category:Numbers.
- Ideal_number wikiPageWikiLink Cyclotomic_field.
- Ideal_number wikiPageWikiLink Divisor_(algebraic_geometry).
- Ideal_number wikiPageWikiLink Ernst_Kummer.
- Ideal_number wikiPageWikiLink Fermats_Last_Theorem.
- Ideal_number wikiPageWikiLink Gabriel_Lamé.
- Ideal_number wikiPageWikiLink Harold_Edwards_(mathematician).
- Ideal_number wikiPageWikiLink Higher_reciprocity_laws.
- Ideal_number wikiPageWikiLink Hilbert_class_field.
- Ideal_number wikiPageWikiLink Ideal_(ring_theory).
- Ideal_number wikiPageWikiLink Ideal_class_group.
- Ideal_number wikiPageWikiLink John_Stillwell.
- Ideal_number wikiPageWikiLink Joseph_Liouville.
- Ideal_number wikiPageWikiLink Kurt_Hensel.
- Ideal_number wikiPageWikiLink Module_(mathematics).
- Ideal_number wikiPageWikiLink Nicolas_Bourbaki.
- Ideal_number wikiPageWikiLink Number_theory.
- Ideal_number wikiPageWikiLink Peter_Gustav_Lejeune_Dirichlet.
- Ideal_number wikiPageWikiLink Principal_ideal_theorem.
- Ideal_number wikiPageWikiLink Quadratic_form.
- Ideal_number wikiPageWikiLink Regular_prime.
- Ideal_number wikiPageWikiLink Richard_Dedekind.
- Ideal_number wikiPageWikiLink Ring_(mathematics).
- Ideal_number wikiPageWikiLink Ring_of_integers.
- Ideal_number wikiPageWikiLink Ring_theory.
- Ideal_number wikiPageWikiLinkText "ideal number".
- Ideal_number wikiPageWikiLinkText "ideal primes".
- Ideal_number wikiPageWikiLinkText "ideale Zahlen".
- Ideal_number subject Category:Number_theory.
- Ideal_number subject Category:Numbers.
- Ideal_number hypernym Integer.
- Ideal_number type Field.
- Ideal_number 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.".
- Ideal_number label "Ideal number".
- Ideal_number sameAs Q1137087.
- Ideal_number sameAs 이상수_(수학).
- Ideal_number sameAs Ideaal_getal.
- Ideal_number sameAs Liczba_idealna.
- Ideal_number sameAs m.02lcdz.
- Ideal_number sameAs Идеальное_число.
- Ideal_number sameAs Q1137087.
- Ideal_number sameAs 理想数.
- Ideal_number wasDerivedFrom Ideal_number?oldid=675008790.
- Ideal_number isPrimaryTopicOf Ideal_number.