Definition of Commutative. Meaning of Commutative. Synonyms of Commutative

Here you will find one or more explanations in English for the word Commutative. Also in the bottom left of the page several parts of wikipedia pages related to the word Commutative and, of course, Commutative synonyms and on the right images related to the word Commutative.

Definition of Commutative

Commutative
Commutative Com*mut"a*tive, a. [CF. F. commutatif.] Relative to exchange; interchangeable; reciprocal. -- Com*mut"a*tive"ly, adv. Rich traders, from their success, are presumed . . . to have cultivated an habitual regard to commutative justice. --Burke.

Meaning of Commutative from wikipedia

- In mathematics, a binary operation is commutative if changing the order of the operands does not change the result. It is a fundamental property of many...
- Commutative algebra, first known as ideal theory, is the branch of algebra that studies commutative rings, their ideals, and modules over such rings....
- mathematics, a commutative ring is a ring in which the multiplication operation is commutative. The study of commutative rings is called commutative algebra...
- commutative is called a commutative monoid (or, less commonly, an abelian monoid). Commutative monoids are often written additively. Any commutative monoid...
- In mathematics, and especially in category theory, a commutative diagram is a diagram such that all directed paths in the diagram with the same start...
- In mathematics, an ****ociative algebra A over a commutative ring (often a field) K is a ring A together with a ring homomorphism from K into the center...
- algebraic structures that generalize fields: multiplication need not be commutative and multiplicative inverses need not exist. Informally, a ring is a set...
- are delivered in causal order. Operation-based CRDTs are also called commutative replicated data types, or CmRDTs. CmRDT replicas propagate state by transmitting...
- as algebraic geometry, unital ****ociative commutative algebra. Replacing the field of scalars by a commutative ring leads to the more general notion of...
- algebra is an ****ociative algebra in which the multiplication is not commutative, that is, for which x y {\displaystyle xy} does not always equal y x...