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...
- algebra, a commutative ring is a ring in which the multiplication operation is commutative. The study of commutative rings is called commutative algebra...
- Commutative algebra is the branch of algebra that studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry and algebraic...
- examples of commutative rings, have driven much of the development of commutative ring theory, which is now, under the name of commutative algebra, a major...
- In abstract algebra, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements...
- its behavior as an abstract object. As a result, commutative ring theory, commonly known as commutative algebra, is a key topic in ring theory. Its development...
- as algebraic geometry, unital ****ociative commutative algebra. Replacing the field of scalars by a commutative ring leads to the more general notion of...
- meanings: a way of representing commutative Banach algebras as algebras of continuous functions; the fact that for commutative C*-algebras, this representation...
- commutative is called a commutative monoid (or, less commonly, an abelian monoid). Commutative monoids are often written additively. Any commutative monoid...
- theory, a noncommutative ring is a ring whose multiplication is not commutative; that is, there exists a and b in R with a·b ≠ b·a. Many authors use...
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