# semilattice

## English[edit]

### Etymology[edit]

### Noun[edit]

**semilattice** (*plural* **semilattices**)

- (mathematics) A partially ordered set that either has a join (a least upper bound) for any nonempty finite subset (a
*join-semilattice*or*upper semilattice*) or has a meet (or greatest lower bound) for any nonempty finite subset (a*meet-semilattice*or*lower semilattice*).