Last Updated
：2025/12/01
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
（ plural ）
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(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
The structure of a finite-dimensional Jordan algebra reveals important connections between algebraic identities and geometry.
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The structure of a finite-dimensional Jordan algebra reveals important connections between algebraic identities and geometry.
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