Definition:Bottom of Lattice/Definition 1

Definition

Let $\struct {S, \vee, \wedge, \preceq}$ be a lattice.

Let $S$ admit a smallest element $\bot$.

Then $\bot$ is called the bottom of $S$.

Also see

• Equivalence of Definitions of Bottom of Lattice

• Results about the bottom of a lattice can be found here.