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Jordan algebra

In abstract algebra, a Jordan algebra is a nonassociative algebra over a field whose multiplication satisfies the following axioms:
1. ${\\displaystyle xy=yx}$ (commutative law)
2. ${\\displaystyle (xy)(xx)=x(y(xx))}$ (Jordan identity).
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Jordan_algebra)

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