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Associative property (view source)

Revision as of 16:22, September 13, 2011

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The '''associative property''' is true of an [[algebraic]] system (A,*) [[iff]] (a*b)*c = a*(b*c). This is a desired property because it allows one to unambiguously write algebraic sentences without unnecessary [[bra-ket notation|bracketing]]. For example, one can simply write a*b*c for the above expression, because no matter which order the multiplications are done, the product will be the same.
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Common examples of associative operations are [[Associative property of multiplication|multiplication]] and [[Associative property of addition|addition]] of [[real number]]s and [[composition of functions]].
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[[Category:Algebra]]
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