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- Semilattice abstract "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.Semilattices can also be defined algebraically: join and meet are associative, commutative, idempotent binary operations, and any such operation induces a partial order (and the respective inverse order) such that the result of the operation for any two elements is the least upper bound (or greatest lower bound) of the elements with respect to this partial order. A lattice is a partially ordered set that is both a meet- and join-semilattice with respect to the same partial order. Algebraically, a lattice is a set with two associative, commutative idempotent binary operations linked by corresponding absorption laws.".
- Semilattice wikiPageExternalLink structures.pl?Semilattices.
- Semilattice wikiPageID "755647".
- Semilattice wikiPageRevisionID "592516804".
- Semilattice hasPhotoCollection Semilattice.
- Semilattice subject Category:Algebraic_structures.
- Semilattice subject Category:Lattice_theory.
- Semilattice type AlgebraicStructures.
- Semilattice type Artifact100021939.
- Semilattice type Object100002684.
- Semilattice type PhysicalEntity100001930.
- Semilattice type Structure104341686.
- Semilattice type Whole100003553.
- Semilattice type YagoGeoEntity.
- Semilattice type YagoPermanentlyLocatedEntity.
- Semilattice comment "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.".
- Semilattice label "Semilattice".
- Semilattice label "Semireticolo".
- Semilattice label "Semirretículo".
- Semilattice label "Полурешётка".
- Semilattice label "セミラティス".
- Semilattice label "半格".
- Semilattice sameAs Semirretículo.
- Semilattice sameAs Semireticolo.
- Semilattice sameAs セミラティス.
- Semilattice sameAs m.038n6n.
- Semilattice sameAs Q834585.
- Semilattice sameAs Q834585.
- Semilattice sameAs Semilattice.
- Semilattice wasDerivedFrom Semilattice?oldid=592516804.
- Semilattice isPrimaryTopicOf Semilattice.