Category:Quasigroups
Jump to navigation
Jump to search
This category contains results about Quasigroups.
Definitions specific to this category can be found in Definitions/Quasigroups.
A quasigroup is a magma $\struct {S, \circ}$ which has the Latin square property.
That is, such that $\forall a \in S$, the left and right regular representations $\lambda_a$ and $\rho_a$ are permutations on $S$.
Subcategories
This category has the following 2 subcategories, out of 2 total.
Pages in category "Quasigroups"
The following 12 pages are in this category, out of 12 total.
C
S
- Self-Distributive Quasigroup is Idempotent
- Self-Distributive Quasigroup with at least Two Elements has no Identity
- Self-Distributive Quasigroup with at least Two Elements is not Associative
- Structure Induced by Permutation on Commutative Quasigroup is Commutative Quasigroup
- Structure Induced by Permutation on Quasigroup is Quasigroup
- Structure is Group iff Semigroup and Quasigroup