Home / Get Math Help
Associator
Definition
For an algebra A, the associator is the trilinear map A×A×A->A given by (x, y, z) = (x y) z - x(y z). The associator is identically zero iff A is associative.
Related terms
For an algebra A, the associator is the trilinear map A×A×A->A given by (x, y, z) = (x y) z - x(y z). The associator is identically zero iff A is associative.