nonassociative algebra

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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 ?
Thirty-three papers from the July 2003 conference on non-associative algebra held in Mexico present recent results in non-associative rings and algebras, quasigroups and loops, and their application to differential geometry and relativity.
Introduction to Octonion and Other Non-Associative Algebras in Physics.

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