Jordan algebra
id:
jordan-algebra-172-6426414
title:
Jordan algebra
text:
In abstract algebra, a Jordan algebra is a nonassociative algebra over a field whose multiplication satisfies the following axioms:
- x y = y x
- = x. The product of two elements x and y in a Jordan algebra is also denoted x ∘ y, particularly to avoid confusion with the product of a related associative algebra. The axioms imply that a Jordan algebra is power-associative, meaning that x n = x ⋯ x is independent of how we parenthesize this expression. They also imply that x m = x n for all pos
brand slug:
wiki
category slug:
encyclopedia
description:
Not-necessarily-associative commutative algebra satisfying (𝑥𝑦)𝑥²=𝑥(𝑦𝑥²)
original url:
https://en.wikipedia.org/wiki/Jordan_algebra
date created:
2004-08-27T23:28:11Z
date modified:
2024-09-01T22:29:05Z
main entity:
{"identifier":"Q649977","url":"https://www.wikidata.org/entity/Q649977"}
image:
fields total:
13
integrity:
15