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Pronunciation varies by accent · noun
(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). Equivalently, an underlying set which has a binary operation which is associative, commutative, and idempotent..
Use semilattice when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Semilattice means (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). Equivalently, an underlying set which has a binary operation which is associative, commutative, and idempotent..
The closest synonym depends on the sentence and intended sense.
The opposite depends on the specific sense.
Use semilattice where its definition matches the intended context.
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