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- Principal_ideal_theorem abstract "In mathematics, the principal ideal theorem of class field theory, a branch of algebraic number theory says that extending ideals gives a mapping on the class group of an algebraic number field to the class group of its Hilbert class field, which sends all ideal classes to the class of a principal ideal. The phenomenon has also been called principalization, or sometimes capitulation.".
- Principal_ideal_theorem wikiPageID "3136164".
- Principal_ideal_theorem wikiPageLength "3422".
- Principal_ideal_theorem wikiPageOutDegree "21".
- Principal_ideal_theorem wikiPageRevisionID "640863107".
- Principal_ideal_theorem wikiPageWikiLink Algebraic_number_field.
- Principal_ideal_theorem wikiPageWikiLink Algebraic_number_theory.
- Principal_ideal_theorem wikiPageWikiLink Category:Group_theory.
- Principal_ideal_theorem wikiPageWikiLink Category:Homological_algebra.
- Principal_ideal_theorem wikiPageWikiLink Category:Ideals.
- Principal_ideal_theorem wikiPageWikiLink Category:Theorems_in_algebraic_number_theory.
- Principal_ideal_theorem wikiPageWikiLink Class_field_theory.
- Principal_ideal_theorem wikiPageWikiLink Class_group.
- Principal_ideal_theorem wikiPageWikiLink Graduate_Texts_in_Mathematics.
- Principal_ideal_theorem wikiPageWikiLink Hilbert_class_field.
- Principal_ideal_theorem wikiPageWikiLink Ideal_(ring_theory).
- Principal_ideal_theorem wikiPageWikiLink Ideal_class_group.
- Principal_ideal_theorem wikiPageWikiLink Mathematics.
- Principal_ideal_theorem wikiPageWikiLink Principal_ideal.
- Principal_ideal_theorem wikiPageWikiLink Principalization_(algebra).
- Principal_ideal_theorem wikiPageWikiLink Ring_of_integers.
- Principal_ideal_theorem wikiPageWikiLink Springer-Verlag.
- Principal_ideal_theorem wikiPageWikiLink Springer_Science+Business_Media.
- Principal_ideal_theorem wikiPageWikiLink Transfer_(group_theory).
- Principal_ideal_theorem wikiPageWikiLinkText "Principal ideal theorem".
- Principal_ideal_theorem wikiPageWikiLinkText "principal ideal theorem of class field theory".
- Principal_ideal_theorem wikiPageWikiLinkText "principal ideal theorem".
- Principal_ideal_theorem authorlink "David Hilbert".
- Principal_ideal_theorem first "David".
- Principal_ideal_theorem first "Emil".
- Principal_ideal_theorem hasPhotoCollection Principal_ideal_theorem.
- Principal_ideal_theorem last "Artin".
- Principal_ideal_theorem last "Hilbert".
- Principal_ideal_theorem wikiPageUsesTemplate Template:About.
- Principal_ideal_theorem wikiPageUsesTemplate Template:Citation.
- Principal_ideal_theorem wikiPageUsesTemplate Template:Cite_book.
- Principal_ideal_theorem wikiPageUsesTemplate Template:Cite_journal.
- Principal_ideal_theorem wikiPageUsesTemplate Template:Harvs.
- Principal_ideal_theorem year "1902".
- Principal_ideal_theorem year "1927".
- Principal_ideal_theorem year "1929".
- Principal_ideal_theorem subject Category:Group_theory.
- Principal_ideal_theorem subject Category:Homological_algebra.
- Principal_ideal_theorem subject Category:Ideals.
- Principal_ideal_theorem subject Category:Theorems_in_algebraic_number_theory.
- Principal_ideal_theorem type Theorem.
- Principal_ideal_theorem comment "In mathematics, the principal ideal theorem of class field theory, a branch of algebraic number theory says that extending ideals gives a mapping on the class group of an algebraic number field to the class group of its Hilbert class field, which sends all ideal classes to the class of a principal ideal. The phenomenon has also been called principalization, or sometimes capitulation.".
- Principal_ideal_theorem label "Principal ideal theorem".
- Principal_ideal_theorem sameAs Thxc3xa9orxc3xa8me_de_lidxc3xa9al_principal.
- Principal_ideal_theorem sameAs m.08trtd.
- Principal_ideal_theorem sameAs Principalidealsatsen.
- Principal_ideal_theorem sameAs Q3527196.
- Principal_ideal_theorem sameAs Q3527196.
- Principal_ideal_theorem wasDerivedFrom Principal_ideal_theorem?oldid=640863107.
- Principal_ideal_theorem isPrimaryTopicOf Principal_ideal_theorem.