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单词 Jordan ring
释义

Jordan ring

英语百科

Jordan algebra

(重定向自Jordan ring)
Pascual Jordan

In abstract algebra, a Jordan algebra is an (nonassociative) algebra over a field whose multiplication satisfies the following axioms:

The product of two elements x and y in a Jordan algebra is also denoted xy, particularly to avoid confusion with the product of a related associative algebra. The axioms imply that a Jordan algebra is power-associative and satisfies the following generalization of the Jordan identity: (x^my)x^n = x^m(yx^n) for all positive integers m and n.

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