associative law for multiplication

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• associative law — Two closely related laws of number operations. In symbols, they are stated: a + (b + c) = (a + b) + c, and a(bc) = (ab)c. Stated in words: The terms or factors may be associated in any way desired and the result will be the same. This holds for… …   Universalium

• 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

• Associative algebra — In mathematics, an associative algebra is a vector space (or more generally, a module) which also allows the multiplication of vectors in a distributive and associative manner. They are thus special algebras. Definition An associative algebra A… …   Wikipedia

• commutative law — Logic. a law asserting that the order in which certain logical operations are performed is indifferent. [1835 45] * * * Two closely related laws of number operations. In symbols, they are stated: a + b = b + a and ab = ba. Stated in words:… …   Universalium

• Near-field (mathematics) — This article is about the mathematical concept. For the electromagnetic concept, see Near and far field. In mathematics, a near field is an algebraic structure similar to a division ring, except that it has only one of the two distributive laws.… …   Wikipedia

• Absorption law — In algebra, the absorption law is an identity linking a pair of binary operations.Any two binary operations, say $ and %, are subject to the absorption law if:: a $ ( a % b ) = a % ( a $ b ) = a .The operations $ and % are said to form a dual… …   Wikipedia

• arithmetic — arithmetically, adv. n. /euh rith meuh tik/; adj. /ar ith met ik/, n. 1. the method or process of computation with figures: the most elementary branch of mathematics. 2. Also called higher arithmetic, theoretical arithmetic. the theory of… …   Universalium

• Invalid proof — In mathematics, there are a variety of spurious proofs of obvious contradictions. Although the proofs are flawed, the errors, usually by design, are comparatively subtle. These fallacies are normally regarded as mere curiosities, but can be used… …   Wikipedia

• Mathematical fallacy — In mathematics, certain kinds of mistakes in proof, calculation, or derivation are often exhibited, and sometimes collected, as illustrations of the concept of mathematical fallacy. The specimens of the greatest interest can be seen as… …   Wikipedia

• History of algebra — Elementary algebra is the branch of mathematics that deals with solving for the operands of arithmetic equations. Modern or abstract algebra has its origins as an abstraction of elementary algebra. Historians know that the earliest mathematical… …   Wikipedia

• algebra, elementary — Introduction       branch of mathematics that deals with the general properties of numbers and the relations between them. Algebra is fundamental not only to all further mathematics and statistics but to the natural sciences, computer science,… …   Universalium