Empty semigroup
= Empty semigroup
{wiki=Empty_semigroup}
An empty semigroup is a mathematical structure that consists of an empty set equipped with a binary operation that is associative. A semigroup is defined as a set accompanied by a binary operation that satisfies two conditions: 1. **Associativity:** For any elements \\( a, b, c \\) in the semigroup, the equation \\( (a * b) * c = a * (b * c) \\) holds, where \\( * \\) is the binary operation.