Complemented lattice
= Complemented lattice
{wiki=Complemented_lattice}
A complemented lattice is a type of lattice in which every element has a complement. Specifically, a lattice \\( L \\) is a complemented lattice if, for every element \\( a \\in L \\), there exists an element \\( b \\in L \\) such that: 1. \\( a \\vee b = 1 \\) (the join of \\( a \\) and \\( b \\) is the greatest element of the lattice, often denoted as \\( 1 \\)) 2.