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- Witt's_theorem abstract ""Witt's theorem" or "the Witt theorem" may also refer to the Bourbaki–Witt fixed point theorem of order theory.In mathematics, Witt's theorem, named after Ernst Witt, is a basic result in the algebraic theory of quadratic forms: any isometry between two subspaces of a nonsingular quadratic space over a field k may be extended to an isometry of the whole space. An analogous statement holds also for skew-symmetric, Hermitian and skew-Hermitian bilinear forms over arbitrary fields. The theorem applies to classification of quadratic forms over k and in particular allows one to define the Witt group W(k) which describes the "stable" theory of quadratic forms over the field k.".
- Witt's_theorem wikiPageID "4222668".
- Witt's_theorem wikiPageRevisionID "598056323".
- Witt's_theorem hasPhotoCollection Witt's_theorem.
- Witt's_theorem subject Category:Quadratic_forms.
- Witt's_theorem subject Category:Theorems_in_algebra.
- Witt's_theorem type Abstraction100002137.
- Witt's_theorem type Communication100033020.
- Witt's_theorem type Message106598915.
- Witt's_theorem type Proposition106750804.
- Witt's_theorem type Statement106722453.
- Witt's_theorem type Theorem106752293.
- Witt's_theorem type TheoremsInAlgebra.
- Witt's_theorem comment ""Witt's theorem" or "the Witt theorem" may also refer to the Bourbaki–Witt fixed point theorem of order theory.In mathematics, Witt's theorem, named after Ernst Witt, is a basic result in the algebraic theory of quadratic forms: any isometry between two subspaces of a nonsingular quadratic space over a field k may be extended to an isometry of the whole space. An analogous statement holds also for skew-symmetric, Hermitian and skew-Hermitian bilinear forms over arbitrary fields.".
- Witt's_theorem label "Witt's theorem".
- Witt's_theorem label "Теорема Витта".
- Witt's_theorem sameAs m.0bqt01.
- Witt's_theorem sameAs Q8028529.
- Witt's_theorem sameAs Q8028529.
- Witt's_theorem sameAs Witt's_theorem.
- Witt's_theorem wasDerivedFrom Witt's_theorem?oldid=598056323.
- Witt's_theorem isPrimaryTopicOf Witt's_theorem.