Definition:Latin Square Property

Definition
Let $\left({S, \circ}\right)$ be an algebraic structure.

Then $\left({S, \circ}\right)$ has the Latin square property iff:
 * $\forall a \in S$, the left and right regular representations $\lambda_a$ and $\rho_a$ are permutations on $S$.

Also see

 * Definition:Quasigroup