Categories: Abstract algebra
In abstract algebra, for a nonassociative ring R, the associator is the multilinear map
The associater measures the degree of nonassociativity of a ring and is zero for associative rings .
![[\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)
