# Discrete Mathematics/Semigroup

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In this section we Define a simple mathematical system,consisting of a set together with a binary operation,that has many Important application.

### Semi group[edit]

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.