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In mathematics, a Witt group of a field, named after Ernst Witt, is an abelian group whose elements are represented by symmetric bilinear forms over the field.

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rdf:type	yago:Abstraction100002137 yago:Form106290637 yago:LanguageUnit106284225 yago:Part113809207 yago:Relation100031921 yago:Word106286395 Band yago:WikicatQuadraticForms
rdfs:label	Witt-Ring (de) Groupe de Witt (fr) 비트 환 (ko) Witt group (en)
rdfs:comment	Der Begriff des Witt-Rings stammt aus der Algebra. Er soll die quadratischen Räume über einem Ring , d. h. die -Moduln mit symmetrischer Bilinearform, zusammenfassen. Er wurde 1937 von Ernst Witt eingeführt. (de) En mathématiques, un groupe de Witt sur un corps commutatif, nommé d'après Ernst Witt, est un groupe abélien dont les éléments sont représentés par des formes bilinéaires symétriques sur ce corps. (fr) ( 이 문서는 이차 형식의 동치류로 구성된 가환환에 관한 것입니다. 비트 벡터로 구성된 가환환에 대해서는 비트 벡터 문서를 참고하십시오.) 이차 형식 이론에서, 비트 환(Witt環, 영어: Witt ring)은 비퇴화 이차 형식의 동치류로 구성된 가환환이다. (ko) In mathematics, a Witt group of a field, named after Ernst Witt, is an abelian group whose elements are represented by symmetric bilinear forms over the field. (en)
dct:subject	Quadratic forms
Wikipage page ID	5578523 (xsd:integer)
Wikipage revision ID	1122574573 (xsd:integer)
Link from a Wikipage to another Wikipage	Prime ideal Multilinear map Core form Bilinear form Algebraic group Algebraically closed field Hyperbolic plane (quadratic forms) Vector space Vladimir Voevodsky Index of a subgroup Jacobson ring L-theory Sylvester's law of inertia Tensor product of quadratic forms Signature of a quadratic form *-ring Quadratic forms Mathematics Noetherian ring Pythagorean field Quadratically closed field Crelle's Journal Equivalence class Reduced height of a field Signature (quadratic form) Commutative ring Ideal norm Krull dimension Functorial Parity (mathematics) Spectrum of a ring Subgroup Λ-ring A¹ homotopy theory Hasse invariant of a quadratic form Hasse–Minkowski theorem Local field Local ring American Mathematical Society Cyclic group Ernst Witt Exterior power Field (mathematics) Finite field Brauer group Brauer–Wall group Nilpotent element Number field Dimension (vector space) Formally real field Graded ring Graduate Studies in Mathematics Hilbert symbol Quadratic form Group homomorphism Isomorphic Surjective Abelian group Characteristic (algebra) John Milnor Kernel (group theory) Bijection Surgery theory Homeomorphism Torsion group Symmetric bilinear form Skew-symmetric form Discriminant of a quadratic form Filtration Grothendieck group Group ring Maximal ideal of a valuation Metabolic quadratic space Milnor ring Order (group theory) Surgery exact sequence Fabien Morel Square class Zariski topology Pfister form Torsion subgroup

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