👉 In mathematics, a semigroup is an algebraic structure that satisfies several properties. Unlike groups, semigroups are not commutative and do not have an identity element. They can be defined as a set equipped with two binary operations, denoted by , which satisfy certain rules about the relationship between their elements. For example, in the ring of integers modulo n, where n is any integer greater than 1, we can define addition and multiplication on the integers using the following rules: 1