Quadratic pairs in characteristic 2 and the Witt cancellation theorem.
Elomary, Mohamed Abdou (2003)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Generalized quadratic operators and perturbations”
Quadratic pairs in characteristic 2 and the Witt cancellation theorem.
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The concept of doubling, which was introduced around 1840 by Graves and Hamilton, associates with any quadratic algebra 𝓐 over a field k of characteristic not 2 its double 𝓥(𝓐 ) = 𝓐 × 𝓐 with multiplication (w,x)(y,z) = (wy - z̅x,xy̅ + zw). This yields an endofunctor on the category of all quadratic k-algebras which is faithful but not full. We study in which respect the division property of a quadratic k-algebra is preserved under doubling and, provided this is the case,...
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