Commutative

Synonyms of commutative

• mutual
• interchangeable
• reciprocal

Antonyms of commutative

• noncommutative
• nonreciprocal
• noninterchangeable

Collocations of commutative

commutative property

Frequency: 80 %

The commutative property of addition states that changing the order of the numbers does not change the sum.

commutative operation

Frequency: 70 %

Addition is a commutative operation because changing the order of the numbers being added does not change the result.

commutative law

Frequency: 60 %

The commutative law of multiplication states that changing the order of the factors does not change the product.

commutative algebra

Frequency: 50 %

Studying commutative algebra helps mathematicians understand properties of commutative rings.

Idiomatic Expressions for commutative

• Phrase: commutative diagram
  Meaning: A diagram in category theory that consists of objects and morphisms, with the property that following different paths in the diagram results in the same composition.
  Usage: The commutative diagram in algebraic topology helped to illustrate the relationships between different objects and morphisms.