Skew lattice

Skew lattice

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

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 xwedge (xvee y)=x=(ywedge x)vee x and their duals.


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