In mathematics, especially in abstract algebra, a quasigroup's an algebraic structure resembling a group in the sense that "division"'s always possible. Quasigroups differ from groups mainly in that they need not be associative.A quasigroup with an identity element's called a loop. Definitions There're two equivalent formal definitions of quasigroup with, respectively, one and three primitive binary operations. We begin with the first definition, which's easier to follow. A quasigroup (Q, *)'s… (More on Quasigroup)