Lattice (order theory)

GPTKB entity

Statements (32)
Predicate Object
gptkbp:instanceOf gptkb:algebra
gptkbp:application gptkb:logic
gptkb:set_theory
gptkb:topology
abstract algebra
computer science
gptkbp:definedIn partially ordered set in which every two elements have a unique supremum and infimum
gptkbp:example set of subsets of a set with union and intersection
divisors of a number with gcd and lcm
gptkbp:field gptkb:mathematics
gptkb:order_theory
gptkbp:generalizes gptkb:algebra
complete lattice
distributive lattice
modular lattice
bounded lattice
gptkbp:has_operation join
meet
gptkbp:hasDual gptkb:dual_lattice
gptkbp:hasProperty absorption law
associativity
commutativity
idempotency
gptkbp:introduced 19th century
gptkbp:seeAlso gptkb:lattice_(discrete_subgroup)
gptkb:Heyting_algebra
gptkb:semilattice
gptkb:lattice_(group_theory)
poset
gptkbp:studiedBy gptkb:Garrett_Birkhoff
gptkbp:bfsParent gptkb:Distributive_lattice
gptkbp:bfsLayer 7