Question

what is semi group in discrete mathematics?

Answer 1

Let (A,*) be algebraic structure, where * is any binary operation on A. Then, the system (A,*) is semi-group if it satisfies the following properties: 1. The operation * is a closed operation on set A. 2. The operation * is an associative operation.

Answer 2

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• In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative binary operation.

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).