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- Cyclotomic_field abstract "In number theory, a cyclotomic field is a number field obtained by adjoining a complex primitive root of unity to Q, the field of rational numbers. The n-th cyclotomic field Q(ζn) (with n > 2) is obtained by adjoining a primitive n-th root of unity ζn to the rational numbers.The cyclotomic fields played a crucial role in the development of modern algebra and number theory because of their relation with Fermat's last theorem. It was in the process of his deep investigations of the arithmetic of these fields (for prime n) – and more precisely, because of the failure of unique factorization in their rings of integers – that Ernst Kummer first introduced the concept of an ideal number and proved his celebrated congruences.".
- Cyclotomic_field wikiPageID "30872462".
- Cyclotomic_field wikiPageRevisionID "605291382".
- Cyclotomic_field hasPhotoCollection Cyclotomic_field.
- Cyclotomic_field subject Category:Algebraic_number_theory.
- Cyclotomic_field subject Category:Cyclotomic_fields.
- Cyclotomic_field type CyclotomicFields.
- Cyclotomic_field type Field108569998.
- Cyclotomic_field type GeographicalArea108574314.
- Cyclotomic_field type Location100027167.
- Cyclotomic_field type Object100002684.
- Cyclotomic_field type PhysicalEntity100001930.
- Cyclotomic_field type Region108630985.
- Cyclotomic_field type Tract108673395.
- Cyclotomic_field type YagoGeoEntity.
- Cyclotomic_field type YagoLegalActorGeo.
- Cyclotomic_field type YagoPermanentlyLocatedEntity.
- Cyclotomic_field comment "In number theory, a cyclotomic field is a number field obtained by adjoining a complex primitive root of unity to Q, the field of rational numbers. The n-th cyclotomic field Q(ζn) (with n > 2) is obtained by adjoining a primitive n-th root of unity ζn to the rational numbers.The cyclotomic fields played a crucial role in the development of modern algebra and number theory because of their relation with Fermat's last theorem.".
- Cyclotomic_field label "Corpo ciclotômico".
- Cyclotomic_field label "Cuerpo ciclotómico".
- Cyclotomic_field label "Cyclotomic field".
- Cyclotomic_field label "Cyclotomisch veld".
- Cyclotomic_field label "Estensione ciclotomica".
- Cyclotomic_field label "Extension cyclotomique".
- Cyclotomic_field label "Kreisteilungskörper".
- Cyclotomic_field label "Круговое поле".
- Cyclotomic_field label "円分体".
- Cyclotomic_field label "分圆域".
- Cyclotomic_field sameAs Kreisteilungskörper.
- Cyclotomic_field sameAs Cuerpo_ciclotómico.
- Cyclotomic_field sameAs Extension_cyclotomique.
- Cyclotomic_field sameAs Estensione_ciclotomica.
- Cyclotomic_field sameAs 円分体.
- Cyclotomic_field sameAs 원분체.
- Cyclotomic_field sameAs Cyclotomisch_veld.
- Cyclotomic_field sameAs Corpo_ciclotômico.
- Cyclotomic_field sameAs m.02p11d6.
- Cyclotomic_field sameAs Q1554628.
- Cyclotomic_field sameAs Q1554628.
- Cyclotomic_field sameAs Cyclotomic_field.
- Cyclotomic_field wasDerivedFrom Cyclotomic_field?oldid=605291382.
- Cyclotomic_field isPrimaryTopicOf Cyclotomic_field.