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A commutative quasigroup is a commutative magma $(G,(-)\cdot(-):G \times G \to G)$ equipped with a binary operation $(-)/(-):G \times G \to G$ called division such that $(x/y) \cdot y = x$ and $(x \cdot y)/y = x$.
Every commutative loop is a commutative quasigroup.
Every commutative invertible quasigroup is a commutative quasigroup.
The empty quasigroup is a commutative quasigroup.
Last revised on May 25, 2021 at 14:22:49. See the history of this page for a list of all contributions to it.