Category:Definitions/Bottom of Lattice

This category contains definitions related to Bottom of Lattice.
Related results can be found in Category:Bottom of Lattice.

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

Definition 1

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

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

Definition 2

Let $\vee$ have an identity element $\bot$.

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