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- Pythagorean_field abstract "In algebra, a Pythagorean field is a field in which every sum of two squares is a square: equivalently it has Pythagoras number equal to 1. A Pythagorean extension of a field F is an extension obtained by adjoining an element √1 + λ2 for some λ in F. So a Pythagorean field is one closed under taking Pythagorean extensions. For any field F there is a minimal Pythagorean field Fpy containing it, unique up to isomorphism, called its Pythagorean closure. The Hilbert field is the minimal ordered Pythagorean field.".
- Pythagorean_field wikiPageExternalLink books?id=YvyOLDeOYQgC.
- Pythagorean_field wikiPageExternalLink books?id=vEbWAAAAMAAJ&pg=PA404.
- Pythagorean_field wikiPageID "31032774".
- Pythagorean_field wikiPageLength "7946".
- Pythagorean_field wikiPageOutDegree "38".
- Pythagorean_field wikiPageRevisionID "701834632".
- Pythagorean_field wikiPageWikiLink Algebraic_number_field.
- Pythagorean_field wikiPageWikiLink American_Journal_of_Mathematics.
- Pythagorean_field wikiPageWikiLink American_Mathematical_Society.
- Pythagorean_field wikiPageWikiLink Cambridge_University_Press.
- Pythagorean_field wikiPageWikiLink Category:Field_theory.
- Pythagorean_field wikiPageWikiLink Closure_(mathematics).
- Pythagorean_field wikiPageWikiLink Dehn_plane.
- Pythagorean_field wikiPageWikiLink Ergebnisse_der_Mathematik_und_ihrer_Grenzgebiete.
- Pythagorean_field wikiPageWikiLink Euclidean_field.
- Pythagorean_field wikiPageWikiLink Exact_sequence.
- Pythagorean_field wikiPageWikiLink Field_(mathematics).
- Pythagorean_field wikiPageWikiLink Field_extension.
- Pythagorean_field wikiPageWikiLink Formally_real_field.
- Pythagorean_field wikiPageWikiLink Graduate_Studies_in_Mathematics.
- Pythagorean_field wikiPageWikiLink Hilberts_axioms.
- Pythagorean_field wikiPageWikiLink MIT_Press.
- Pythagorean_field wikiPageWikiLink Mathematische_Annalen.
- Pythagorean_field wikiPageWikiLink Nilradical_of_a_ring.
- Pythagorean_field wikiPageWikiLink Non-Archimedean_ordered_field.
- Pythagorean_field wikiPageWikiLink Ordered_field.
- Pythagorean_field wikiPageWikiLink Pythagoras_number.
- Pythagorean_field wikiPageWikiLink Quadratically_closed_field.
- Pythagorean_field wikiPageWikiLink Rational_function.
- Pythagorean_field wikiPageWikiLink Springer_Science+Business_Media.
- Pythagorean_field wikiPageWikiLink Torsion_subgroup.
- Pythagorean_field wikiPageWikiLink U-invariant.
- Pythagorean_field wikiPageWikiLink Undergraduate_Texts_in_Mathematics.
- Pythagorean_field wikiPageWikiLink Up_to.
- Pythagorean_field wikiPageWikiLink Witt_group.
- Pythagorean_field wikiPageWikiLinkText "Pythagorean field".
- Pythagorean_field wikiPageWikiLinkText "Pythagorean field#Diller–Dress theorem".
- Pythagorean_field wikiPageWikiLinkText "Pythagorean field#Superpythagorean fields".
- Pythagorean_field wikiPageUsesTemplate Template:Citation.
- Pythagorean_field wikiPageUsesTemplate Template:Harv.
- Pythagorean_field wikiPageUsesTemplate Template:Mrad.
- Pythagorean_field wikiPageUsesTemplate Template:Reflist.
- Pythagorean_field subject Category:Field_theory.
- Pythagorean_field hypernym Field.
- Pythagorean_field comment "In algebra, a Pythagorean field is a field in which every sum of two squares is a square: equivalently it has Pythagoras number equal to 1. A Pythagorean extension of a field F is an extension obtained by adjoining an element √1 + λ2 for some λ in F. So a Pythagorean field is one closed under taking Pythagorean extensions. For any field F there is a minimal Pythagorean field Fpy containing it, unique up to isomorphism, called its Pythagorean closure.".
- Pythagorean_field label "Pythagorean field".
- Pythagorean_field sameAs Q2120067.
- Pythagorean_field sameAs Pythagoreischer_Körper.
- Pythagorean_field sameAs Corps_pythagoricien.
- Pythagorean_field sameAs שדה_פיתגורי.
- Pythagorean_field sameAs 피타고라스_체.
- Pythagorean_field sameAs m.0gg9pl3.
- Pythagorean_field sameAs Q2120067.
- Pythagorean_field wasDerivedFrom Pythagorean_field?oldid=701834632.
- Pythagorean_field isPrimaryTopicOf Pythagorean_field.