A Groupoid such that for all , there exist unique such that

No other restrictions are applied; thus a quasigroup need not have an Identity Element, not be associative, etc. Quasigroups are precisely Groupoids whose multiplication tables are Latin Squares. A quasigroup can be empty.

**References**

van Lint, J. H. and Wilson, R. M. *A Course in Combinatorics.* New York: Cambridge University Press, 1992.

© 1996-9

1999-05-25