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 (kŏm′yə-tā′tĭv, kə-myo͞o′tə-tĭv)
1. Relating to, involving, or characterized by substitution, interchange, or exchange.
2. Independent of order. Used of a logical or mathematical operation that combines objects or sets of objects two at a time. If a × b = b × a, the operation indicated by × is commutative.

com·mu′ta·tiv′i·ty (kə-myo͞o′tə-tĭv′ĭ-tē) n.


the property of being commutative
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This left invertive law has been obtained by introducing braces on the left of ternary commutative law abc = cba.
Vougiouklis 1994) are the generalization of usual hyperstructures in such a way that hyperidentities, as associative and commutative law, are substituted by the requirement of the set incidence of left and right hand sides.
In the same study, fourth and fifth grade students were able to explain the commutative law by generalising that "when you multiply two numbers, you can change the order of the numbers" (p.