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Associator
In abstract algebra, for a nonassociative ring R, the associator is the multilinear map
![[\cdot,\cdot,\cdot] : R \times R \times R \to R : (x, y, z) \mapsto [x,y,z] := (xy)z - x(yz).](a/../upload/math/1bf2ab27f00b59769ba8045dd6839a1d.png)
The associater measures the degree of nonassociativity of a ring and is zero for associative rings .
See also
10-26-2009 08:16:03
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The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details