Malcev operation

In mathematics, a Malcev operation on a set X is a ternary operation f on X satisfying the identity $f(x, x, y) = f(y, x, x) = y$ .^[1] For any group G, the operation $f(x, y, z) = x * y^{-1} * z$ is a Malcev operation. If f is also ternary associative, then it defines a heap.

References

↑ Borceux, Francis; Bourn, Dominique (2004). Mal'cev, Protomodular, Homological and Semi-Abelian Categories. Springer Science & Business Media. ISBN 978-1-4020-1961-6.

External links

Mal'cev variety in nLab

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