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Semilattice
In mathematics, a
join-semilattice
(or
upper semilattice
) is a
partially ordered set
that has a
join
(a
least upper bound
) for any
nonempty
finite
subset
.
Dually
, a
meet-semilattice
(or
lower semilattice
) is a partially ordered set which has a
meet
(or
greatest lower bound
) for any nonempty finite subset. Every join-semilattice is a meet-semilattice in the
inverse order
and vice versa.
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