Last Updated:2025/12/01

(mathematics) A non-associative algebra over a field whose product satisfies the axioms (i) xy=yx (the commutative law) and (ii) (xy)(xx)=x(y(xx)) (the Jordan identity).

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Jordan algebra

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Jordan algebra

Noun
Japanese Meaning
数学:ある体上の非結合代数で、積が可換法則(xy = yx)とジョルダン恒等式((xy)(xx) = x(y(xx)))を満たす構造
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有限次元ジョルダン代数の構造は、代数的恒等式と幾何学との重要な結びつきを明らかにする。

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