lattice
Sign in to savepartially ordered set that admits greatest lower and least upper bounds of any two elements
Wikidata facts
- Subclass of
- algebraic structure
- Has part
- semilattice
- Image
- N 5 mit Beschriftung.svg
Show 5 more facts
- has characteristic
- absorption law
- maintained by WikiProject
- WikiProject Mathematics
- Commons category
- Lattice theory
- Commons gallery
- Lattice (order)
- different from
- lattice
Sources (2)
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Encyclopedic overview
Y indicates that the column's property is always true for the row's term (at the very left), while ✗ indicates that the property is not guaranteed in general (it might, or might not, hold). For example, that every equivalence relation is symmetric, but not necessarily antisymmetric, is indicated by Y in the "Symmetric" column and ✗ in the "Antisymmetric" column, respectively. All definitions tacitly require the homogeneous relation
R
Excerpted from Wikipedia’s “lattice” article, available under the CC BY-SA 4.0 licence.