Quasigroup
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.See also Binary Operator, Groupoid, Latin Square, Loop (Algebra), Monoid, Semigroup
References
van Lint, J. H. and Wilson, R. M. A Course in Combinatorics. New York: Cambridge University Press, 1992.
- Imaginary Part
- Imaginary Point
- Imaginary Quadratic Field
- Immanant
- Immersed Minimal Surface
- Immersion
- Impartial Game
- Implicit Function
- Implicit Function Theorem
- Implies
- Impossible Figure
- Impredicative
- Improper Integral
- Improper Node
- Improper Rotation
- Impulse Pair
- Impulse Symbol
- Inaccessible Cardinal
- Inaccessible Cardinals Axiom
- Inadmissible
- In-and-Out Curve
- Incenter
- Incenter-Excenter Circle
- Incidence Axioms
- Incidence Matrix