commutative Definition
com·mu·ta·tive (kə myo̵̅o̅t′ə tiv, käm′yə tāt′iv)
adjective
- of commutation; involving exchange or replacement
- Math. of or pertaining to an operation in which the order of the elements does not affect the result, as, in addition, 3 + 2 = 2 + 3 and, in multiplication, 2 × 3 = 3 × 2
commutative Usage Examples
Modifies a noun
- algebra: The method is similar in some respects to the treatment of non commutative algebras.
- justice: Commutative justice has for its sphere the exchanges that can take place between two individuals.
- ring: Much of the theory of commutative rings is motivated by the properties of the integers.
- law: Two questions arise here: for what series the commutative law is valid; how can the sum change upon rearrangement of the terms?
- diagram: This trick comes in handy for making commutative diagrams of diagrams like braids.
- group: The non-zero elements of F form a commutative group.
Modifying Another Word
necessarily: Recall that in Heisenberg's first paper, he defined a multiplication which was not necessarily commutative.
Browse dictionary entries near commutative
- ‹ commutation ticket
- ‹ commutation
- ‹ commutate
- ‹ commutable
- ‹ communize
- ‹ community service
- ‹ Community Reinvestment Act
- ‹ community property state
- ‹ community property
- ‹ community of interest
- commutative justice ›
- commutator ›
- commute ›
- commuter ›
- Comnena, Anna ›
- Comnenus ›
- Como ›
- Comorin ›
- Comoros ›
- comose ›

