halfgroup
A halfgroup is a mathematical structure consisting of a set and a single binary operation that is associative. This means that for any elements a, b, and c in the set, the equation (a * b) * c = a * (b * c) holds true, where '*' denotes the binary operation. Halfgroups are a generalization of groups, differing in that they are not required to have an identity element or inverses for their elements.
The concept of a halfgroup is also known as a semigroup. In some contexts, the term "halfgroup"
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