- 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...
-
arrangement of planes. The
intersection semilattice L(A) is a meet
semilattice and more
specifically is a
geometric semilattice. If the
arrangement is
linear or...
-
least lattices, but the
concept can in fact
reasonably be
generalized to
semilattices as well.
Probably the most
common type of
distributivity is the one defined...
-
theorem for
commutative semigroups in
terms of
semilattices. A
semilattice (or more
precisely a meet-
semilattice) (L, ≤) is a
partially ordered set
where every...
-
called a
closed sublattice of L. The
terms complete meet-
semilattice or
complete join-
semilattice is
another way to
refer to
complete lattices since arbitrary...
-
valuable alternative presentation. In the case of
semilattices, an
explicit construction of the free
semilattice F ∨ ( X ) {\displaystyle F_{\vee }(X)} is straightforward...
- equivalent,
lattice theory draws on both
order theory and
universal algebra.
Semilattices include lattices,
which in turn
include Heyting and
Boolean algebras...
-
generalized Boolean algebra,
while (B, ∨, 0) is a
generalized Boolean semilattice.
Generalized Boolean lattices are
exactly the
ideals of
Boolean lattices...
- semigroup) and
idempotents commute (that is, the
idempotents of S form a
semilattice).
Every L {\displaystyle {\mathcal {L}}} -class and
every R {\displaystyle...
-
residuated Boolean algebras,
relation algebras, and MV-algebras.
Residuated semilattices omit the meet
operation ∧, for
example Kleene algebras and
action algebras...
