bn:03831453n
Noun Concept
Categories: Non-associative algebras
EN
Jordan algebra  formally real Jordan algebra  JB-algebra  Jordan algebras  Jordan identity
EN
In abstract algebra, a Jordan algebra is a nonassociative algebra over a field whose multiplication satisfies the following axioms: x y = y x {\displaystyle xy=yx} = x {\displaystyle =x}. Wikipedia
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EN
In abstract algebra, a Jordan algebra is a nonassociative algebra over a field whose multiplication satisfies the following axioms: x y = y x {\displaystyle xy=yx} = x {\displaystyle =x}. Wikipedia
Nonassociative commutative algebra over a field satisfiying the identity (xy)x² = x(yx²) Wikidata
A non-associative algebra over a field whose product satisfies the axioms (i) x y = y x (the commutative law) and (ii) ( x y ) ( x x ) = x ( y ( x x ) ) (the Jordan identity). Wiktionary
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