Why Semigroups Are Important?

What is the importance of semigroups in computer science?

  • Answer:

    A semigroup is an underlying set S with an arrow m that takes the cartesian product SxS to another value in S. One example of a semigroup in practice is a metric space M with a distance function d that takes two vectors in M to their distance. So one example of why semigroups are important is their use in n-dimensional analysis.

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