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What does commutative mean?

Looking for the meaning or definition of the word commutative? Here's what it means.

Adjective
  1. (algebraic structure) Having a commutative operation.
  2. (mathematics) Such that any two sequences of morphisms with the same initial and final positions compose to the same morphism.
  3. (mathematics) Such that the order in which the operands are taken does not affect their image under the operation.
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His early works range over number theory, statistics, combinatorics, game theory, as well as his principal interest of commutative algebra.
These two rules are called the commutative and associative laws for multiplication.
What are the associative, commutative, distributive, and equality properties?
An operation is commutative if you can change the order of the numbers involved without changing the result.
The associative, commutative, and distributive laws of elementary algebra are valid for the dot multiplication of vectors.
So, the addition and multiplication we are used to using are commutative.

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