Skew lattice

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In abstract algebra, a skew lattice is an algebraic structure that is a non-commutative generalization of a lattice.

[edit] Definition

A skew lattice is a set S equipped with two associative, idempotent binary operations \wedge and \vee, called meet and join, that satisfy the absorption laws x\wedge (x\vee y)=x=(y\wedge x)\vee x and their duals.

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