commutative operation

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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 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 — adjective a) 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 , . b) Having a commutative operation. Syn: abelian …   Wiktionary

• Operation sur des correspondances — Opération sur des correspondances Une opération sur des correspondances permet de créer de nouvelles correspondances. Sommaire 1 Correspondances et opérations ensemblistes 1.1 Réunion 1.2 Intersection …   Wikipédia en Français

• commutative — [kə myo͞ot′ə tiv, käm′yə tāt΄iv] adj. 1. of commutation; involving exchange or replacement 2. 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… …   English World dictionary

• commutative — ● commutatif, commutative adjectif Se dit d une opération mathématique portant sur deux ou plusieurs termes et dont le résultat ne change pas si l on change l ordre de ces termes. Relatif à une commutation d éléments linguistiques. ● commutatif,… …   Encyclopédie Universelle

• 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

• Operation (mathematics) — The general operation as explained on this page should not be confused with the more specific operators on vector spaces. For a notion in elementary mathematics, see arithmetic operation. In its simplest meaning in mathematics and logic, an… …   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 — adjective technical a mathematical operation that is commutative can be done in any order …   Longman dictionary of contemporary English

• 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