semilattice
semilattice noun: 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). Equivalently, an underlying set which has a binary operation which is associative, commutative, and idempotent.
Noun
semilattice (plural semilattices)
- 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). Equivalently, an underlying set which has a binary operation which is associative, commutative, and idempotent.
Forms of semilattice
| plural | semilattices |
|---|
Origin of semilattice
From semi- + lattice.
Questions about semilattice
- What does semilattice mean?
- Semilattice means 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). Equivalently, an underlying set which has a binary operation which is associative, commutative, and idempotent.
- What part of speech is semilattice?
- Semilattice is a noun.
- What is the plural of semilattice?
- The plural of semilattice is semilattices.
Words near semilattice in the dictionary
Source and license
Adapted from Wiktionary: semilattice (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
Last updated:
Cite this entry: “semilattice.” Word.ws, https://word.ws/semilattice. Based on Wiktionary, CC BY-SA 4.0.