Category:Definitions/Meet Semilattices

This category contains definitions related to Meet Semilattices.
Related results can be found in Category:Meet Semilattices.

Let $\struct {S, \preceq}$ be an ordered set.

Suppose that for all $a, b \in S$:

$a \wedge b \in S$,

where $a \wedge b$ is the meet of $a$ and $b$.

Then the ordered structure $\struct {S, \wedge, \preceq}$ is called a meet semilattice.