commutative property

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• Commutative property — For other uses, see Commute (disambiguation). In mathematics an operation is commutative if changing the order of the operands does not change the end result. It is a fundamental property of many binary operations, and many mathematical proofs… …   Wikipedia

• Commutative — Com*mut a*tive, a. [CF. F. commutatif.] 1. Relative to exchange; interchangeable; reciprocal. {Com*mut a*tive ly}, adv. [1913 Webster] Rich traders, from their success, are presumed . . . to have cultivated an habitual regard to commutative… …   The Collaborative International Dictionary of English

• Commutative ring — In ring theory, a branch of abstract algebra, a commutative ring is a ring in which the multiplication operation is commutative. The study of commutative rings is called commutative algebra. Some specific kinds of commutative rings are given with …   Wikipedia

• commutative — commutatively, adv. commutativity, n. /keuh myooh teuh tiv, kom yeuh tay tiv/, adj. 1. of or pertaining to commutation, exchange, substitution, or interchange. 2. Math. a. (of a binary operation) having the property that one term operating on a… …   Universalium

• commutative — com•mu•ta•tive [[t]kəˈmyu tə tɪv, ˈkɒm yəˌteɪ tɪv[/t]] adj. 1) of or pertaining to commutation, exchange, substitution, or interchange 2) math. a) (of a binary operation) having the property that one term operating on a second is equal to the… …   From formal English to slang

• commutative — adjective Date: 1612 1. of, relating to, or showing commutation 2. of, relating to, having, or being the property that a given mathematical operation and set have when the result obtained using any two elements of the set with the operation does… …   New Collegiate Dictionary

• Loi commutative — En mathématiques, une loi de composition interne sur un ensemble S est dite commutative lorsque, pour tous x et y dans S, . Les exemples les plus simples de lois commutatives sont sans doute l addition et la multiplication des entiers naturels. D …   Wikipédia en Français

• Zero-product property — In the mathematical areas of algebra and analysis, the zero product property, also known as the zero product rule , is an abstract and explicit statement of the familiar property from elementary mathematics that if the product of two real numbers …   Wikipedia

• Local property — In mathematics, a phenomenon is sometimes said to occur locally if, roughly speaking, it occurs on sufficiently small or arbitrarily small neighborhoods of points. Contents 1 Properties of a single space 1.1 Examples 2 Properties of a pair of… …   Wikipedia

• Distributive property — In mathematics, and in particular in abstract algebra, distributivity is a property of binary operations that generalizes the distributive law from elementary algebra. For example: 2 × (1 + 3) = (2 × 1) + (2 × 3). In the left hand side of the… …   Wikipedia

• Associative property — This article is about associativity in mathematics. For associativity in the central processor unit memory cache, see CPU cache. For associativity in programming languages, see operator associativity. In mathematics, associativity is a property… …   Wikipedia