英和和英

形容詞

commutative (not comparable)

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

   Addition on the real numbers is commutative because for any real numbers ${\displaystyle s,t}$, it is true that ${\displaystyle s+t=t+s}$.

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

2. (algebra, of an algebraic structure) Having a commutative operation.
3. (mathematics, 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.

同意語

• (of an algebraic structure): abelian, Abelian

反意語

• anticommutative

派生語

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