High Quality Content by WIKIPEDIA articles! In mathematics, a semigroup with two elements is a semigroup for which the cardinality of the underlying set is two. In mathematics, a semigroup is an algebraic structure consisting of a nonempty set S together with an associative binary operation. In other words, a semigroup is an associative magma. The terminology is derived from the anterior notion of a group. A semigroup differs from a group in that for each of its elements there may not exist an inverse; further, there may not exist an identity element.

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