Associator
Trilinear map (xy)z − x(yz) that measures exactly how far an algebra is from being associative.
Specifications & Metrics
- symbol
- [x, y, z]
Core Principles & Analysis
- The associator measures the degree of non-associativity of a ring or algebra.
- For an associative ring or algebra, the associator is identically zero.
- In any ring it obeys the identity w[x, y, z] + [w, x, y]z = [wx, y, z] − w[x, yz] + variations, constraining its structure.
Sources