Viewing topic: Law Of Composition

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Law Of Composition

  • Definition: A law of composition on a set S is any rule for combining pairs a, b of elements of S to get another element, say p, of S. Formally, a law of composition is a function of two variables, or a map S X S --> S.

    Source: Algebra, second edition by Michael Artin

  • Example: Some models for this concept are addition and multiplication of real numbers. Matrix multiplication on the set of nXn matrices is another example.

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