Definitions for "Quasigroup"
Keywords:  cayley, latin, binary, square, table
a binary system whose multiplication table is a Latin square
a set with a binary operation whose operation table (or Cayley table ) is a Latin square
In mathematics, especially in abstract algebra, a quasigroup is an algebraic structure resembling a group in the sense that "division" is always possible. Quasigroups differ from groups mainly in that they need not be associative.