Commutative vs. Associative

Commutativeadjective

Such that the order in which the operands are taken does not affect their image under the operation.

Commutativeadjective

Having a commutative operation.

Commutativeadjective

Such that any two sequences of morphisms with the same initial and final positions compose to the same morphism.

Commutativeadjective

Relating to exchange; interchangeable.

Commutativeadjective

Relative to exchange; interchangeable; reciprocal.

Commutativeadjective

having the property of commutativity.

Commutativeadjective

of a binary operation; independent of order; as in e.g.

Associativeadjective

Pertaining to, resulting from, or characterised by association; capable of associating; tending to associate or unite.

Associativeadjective

Such that, for any operands a, b and c, (a * b) * c = a * (b * c); (of a ring, etc.) whose multiplication operation is associative.

Associativeadjective

(computing) Addressable by a key more complex than an integer index.

Associativeadjective

Having the quality of associating; tending or leading to association; as, the associative faculty.

Associativeadjective

relating to or resulting from association;

Associativeadjective

characterized by or causing or resulting from association;