commutative

Sequence doesn't matter

Commutative describes operations where the order of elements doesn't affect the result.

Addition is commutative: 3 + 5 equals 5 + 3.

Multiplication is commutative.

Subtraction and division are not—order matters.

The term appears primarily in mathematics and logic: the commutative property of addition.

property

interchangeable

Able to replace another

equivalence · rearrangement · transposition · swap · exchange · flip · commutativity · bidirectional

algebraic

ring

Closed curve shape

addition · associative · distributive · identity · inverse · closure · isomorphism · axiom · theorem · proof

diagram

arrow

Pointed shaft for shooting

pullback · pushout · limit · exactness

Categories
Opposites
order dependence in operations

commutativeasymmetric

Not identical on both sides

subtraction · division · antisymmetric · dependent · sequential

algebraic structure symmetry

commutativeantisymmetric

Negated when transposed

wedge product

Phrases
Family

commutation, commutations

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Used worldwide · Timeless · Abstract · Rated G