A is commutative and B,D is absorption.

C is Distributive. only special lattice follow this property.

Edit: wrote associative instead of absorption. Thnx @Amlan Kumar Majumdar for pointing out.

Dark Mode

357 views

3 votes

Let $(L, \#)$ be a lattice, where $\#$ is some relation defined on the base set $x,y,z \in L.$ Then for all Which of the following is/are necessarily true?

- $x \vee y = y \vee x$
- $x \vee (x \wedge y) = x$
- $x \vee (y \wedge z) = (x \vee y) \wedge (x \vee z)$
- $x \wedge (x \vee y) = x$

edited
May 16, 2022
by daddy_puff

A is commutative and B,D is absorption.

C is Distributive. only special lattice follow this property.

Edit: wrote associative instead of absorption. Thnx @Amlan Kumar Majumdar for pointing out.

0