A skew lattice is a set S equipped with two associative, idempotent binary operations and, called meet and join, that satisfy the following dual pair of absorption laws
Given that and are associative and idempotent, these identities are equivalent to the dualities:
Read more about Skew Lattice: Historical Background, Basic Properties, Subvarieties of Skew Lattices, Skew Boolean Algebras, Skew Lattices in Rings, Primitive Skew Lattices, The Coset Structure of Skew Lattices, See Also