Jordan algebra

noun

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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Meanings

nounJordan algebra (plural Jordan algebras)

plural Jordan algebras

  1. mathematicsA 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).

Origin

Introduced by Pascual Jordan.

Full word history & related roots →
Cite this entry
APA

Jordan algebra. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Jordan%20algebra

MLA

“Jordan algebra.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Jordan%20algebra. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Jordan algebra,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Jordan%20algebra.

Source: Jordan algebra on Wiktionary, CC BY-SA 4.0.