Definition:Complemented Lattice

Definition
Let $\left({S, \vee, \wedge, \preceq}\right)$ be a bounded lattice. Suppose that every $a \in S$ admits a complement.

Then $\left({S, \vee, \wedge, \preceq}\right)$ is called a complemented lattice.

Also see

 * Definition:Complement (Lattice Theory)