noun ·Rare ·Advanced level

Definitions

Noun

1. 1
   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.

Etymology

From semi- + lattice.

Related phrases

partially ordered set

Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.