Definition:Relative Pseudocomplement

Definition

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

Let $x, y \in L$.

Then the relative pseudocomplement of $x$ with respect to $y$ is the greatest element $z \in L$ such that $x \wedge z \preceq y$, if such an element exists.

The relative pseudocomplement of $x$ with respect to $y$ is denoted $x \to y$.

Sources

• This article incorporates material from Brouwerian lattice on PlanetMath, which is licensed under the Creative Commons Attribution/Share-Alike License.