: Mathematics: composition algebra

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composition algebra

In mathematics, a composition algebra $A$ over a field $K$ is a not necessarily associative algebra over $K$ together with a nondegenerate quadratic form $N$ that satisfies
${\\displaystyle N(xy)=N(x)N(y)}$
for all $x$ and $y$ in $A$ .
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Composition_algebra)

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