Quasigroup

A quasigroup is a type of mathematical structure similar to a group but with slightly weaker rules. Imagine a set of elements with a way to combine any two of them to get another element in the set. In a quasigroup, for every pair of elements, you can find unique solutions to equations like "what element combined with this equals that?" and "this combined with what equals that?" This property makes quasigroups useful in areas like cryptography and coding theory, where unique inverse-like operations are essential without requiring all the properties of groups.