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mathematical technique > algebra > Jordan algebra

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Jordan algebra  

Definition(s)

  • In abstract algebra, a Jordan algebra is a nonassociative algebra over a field whose multiplication satisfies the following axioms : 1. xy=yx (commutative law) 2. (xy)(xx)=x(y(xx)) (Jordan identity). The product of two elements x and y in a Jordan algebra is also denoted x ∘ y, particularly to avoid confusion with the product of a related associative algebra. (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Jordan_algebra)

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Synonym(s)

  • Jordanian algebra

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