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nonassociative algebra

   Also found in: Wikipedia 0.18 sec.
nonassociative algebra [‚nän·ə¦sō·shəd·əv ′al·jə·brə]
(mathematics)
A generalization of the concept of an algebra; it is a nonassociative ringRwhich is a vector space over a fieldFsatisfyinga(xy) = (ax)y=x(ay) for allainFandxandyinR.


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