nonassociative algebra

nonassociative algebra

[‚nän·ə¦sō·shəd·əv ′al·jə·brə]
(mathematics)
A generalization of the concept of an algebra; it is a nonassociative ring R which is a vector space over a field F satisfying a (xy) = (ax) y = x (ay) for all a in F and x and y in R.
References in periodicals archive ?
The original motivation to introduce the class of nonassociative algebras known as Jordan algebras came from quantum mechanics (see [?