: Astronomy: semigroup

mathematical technique > algebra > algebraic structure > semigroup

semigroup

In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative internal binary operation on it. The binary operation of a semigroup is most often denoted multiplicatively: x·y, or simply xy, denotes the result of applying the semigroup operation to the ordered pair (x, y). Associativity is formally expressed as that (x·y)·z = x·(y·z) for all x, y and z in the semigroup. (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Semigroup)

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