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Topic: Commutative operation


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  Commutative operation - Wikipedia, the free encyclopedia
The subset of the domain on which an operation is commutative is sometimes called the center in algebra.
An abelian group is a group whose group operation is commutative.
A commutative ring is a ring whose multiplication is commutative.
en.wikipedia.org /wiki/Commutative_operation   (579 words)

  
 Commutative operation: Facts and details from Encyclopedia Topic   (Site not responding. Last check: 2007-11-05)
In ring theory, a branch of abstract algebra, a commutative ring is a ring in which the multiplication operation obeys the commutative law....
A mathematical operator (typically a binary operator, represented by *) is anticommutative iff it is true that "x * y = −(y * x)" for all x and y on the operators...
In mathematics, and in particular in abstract algebra, distributivity is a property of binary operations that generalises the distributive law from...
www.absoluteastronomy.com /encyclopedia/c/co/commutative_operation.htm   (1585 words)

  
 commutative operation - Hutchinson encyclopedia article about commutative operation   (Site not responding. Last check: 2007-11-05)
In mathematics, an operation that is independent of the order of the numbers or symbols concerned.
For example, addition is commutative: the result of adding 4 + 2 is the same as that of adding 2 + 4; subtraction is not as 4 − 2 = 2, but 2 − 4 = −2.
This information should not be considered complete, up to date, and is not intended to be used in place of a visit, consultation, or advice of a legal, medical, or any other professional.
encyclopedia.farlex.com /commutative+operation   (114 words)

  
 Commutative operation at opensource encyclopedia   (Site not responding. Last check: 2007-11-05)
In mathematics, especially abstract algebra, a binary operation * on a set S is commutative if x * y = y * x for all x and y in S.
Among the binary operations that are not commutative are subtraction (a-b), division (a/b), exponentiation (a^n), functional composition (f(g(x)), and super-exponentiation (a@b).
A ring is called commutative if its multiplication is commutative, since the addition is commutative in any ring.
www.wiki.tatet.com /Commutative_operation.html   (217 words)

  
 ipedia.com: Elementary algebra Article   (Site not responding. Last check: 2007-11-05)
Elementary algebra is the most basic form of algebra taught to students who are presumed to have no knowledge of mathematics beyond the basic principles of arithmetic.
While in arithmetic only numbers and their arithmetical operations (such as +, -, ×, ÷) occur, in algebra one also uses symbols (such as a, x, y) to denote numbers.
In algebra, an "expression" may contain numbers, variables and arithmetical operations; examples are and.
www.ipedia.com /elementary_algebra.html   (735 words)

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