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Meaning of commutative ring

Source language: EnglishDictionary language: English

commutative

adjective

Definitions

  1. (of a binary operation) Such that the order in which the operands are taken does not affect their image under the operation.

    Example: Addition and multiplication are commutative operations but subtraction and division are not.

  2. (of an algebraic structure) Having a commutative operation.

  3. (of a diagram of morphisms) Such that any two sequences of morphisms with the same initial and final positions compose to the same morphism.

  4. Relating to exchange; interchangeable.