What does commutative mean?

Looking for the meaning or definition of the word commutative? Here's what it means.

Adjective (algebraic structure) Having a commutative operation. (mathematics) Such that any two sequences of morphisms with the same initial and final positions compose to the same morphism. (mathematics) Such that the order in which the operands are taken does not affect their image under the operation. Find more words! 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His early works range over number theory, statistics, combinatorics, game theory, as well as his principal interest of commutative algebra. In the 1840s, the Irish mathematician William Hamilton found that multiplication was not commutative in all number systems. Homomorphic mappings of rings into fields are very common in commutative algebra and in its applications. Using the fact that polynomial rings are Noetherian, show that every finitely generable commutative ring is finitely presentable. The associative, commutative, and distributive laws of elementary algebra are valid for the dot multiplication of vectors. See Also What is another word for commutative? Sentences with the word commutative Words that rhyme with commutative What is the adverb for commutative? What is the adjective for commutative? What is the noun for commutative? Nearby Definitions commutations commutation commutating commutates commutated commutate commutative algebra commutative algebras commutative justice commutative justices commutatively commutativeness 11-letter Words Starting With c co com comm commu commut commuta commutat commutati commutativ