Nowhere commutative semigroup
= Nowhere commutative semigroup
{wiki=Nowhere_commutative_semigroup}
A *nowhere commutative semigroup* is a type of algebraic structure characterized by its non-commutative nature. In algebra, a semigroup is defined as a set equipped with an associative binary operation. Specifically, a semigroup \\( S \\) is a set with a binary operation \\( \\cdot \\) such that: 1. **Closure**: For all \\( a, b \\in S \\), the product \\( a \\cdot b \\in S \\).