Quasigroup
A Groupoid 
such that for all 
, there exist unique 
such that
 |  |  | |
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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.
- Gauss's Double Point Theorem
- Gauss's Equation (Radius Derivatives)
- Gauss's Formula
- Gauss's Formulas
- Gauss's Forward Formula
- Gauss's Harmonic Function Theorem
- Gauss's Hypergeometric Theorem
- Gauss's Inequality
- Gauss's Interpolation Formula
- Gauss's Lemma
- Gauss's Machin-Like Formula
- Gauss's Mean-Value Theorem
- Gauss's Polynomial Theorem
- Gauss's Reciprocity Theorem
- Gauss's Test
- Gauss's Theorem
- Gauss's Theorema Egregium
- Gauss's Transformation
- Gear Graph
- Gegenbauer Function
- Gegenbauer Polynomial
- Gelfond-Schneider Constant
- Gelfond-Schneider Theorem
- Gelfond's Theorem
- Genaille Rods