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- Complemented_lattice abstract "In the mathematical discipline of order theory, a complemented lattice is a bounded lattice (with least element 0 and greatest element 1), in which every element a has a complement, i.e. an element b satisfying a ∨ b = 1 and a ∧ b = 0.A relatively complemented lattice is a lattice such that every interval [c, d] is complemented. Complements need not be unique.An orthocomplementation on a complemented lattice is an involution which is order-reversing and maps each element to a complement. An orthocomplemented lattice satisfying a weak form of the modular law is called an orthomodular lattice.In distributive lattices, complements are unique. Every complemented distributive lattice has a unique orthocomplementation and is in fact a Boolean algebra.".
- Complemented_lattice thumbnail Fano_plane_Hasse_diagram.svg?width=300.
- Complemented_lattice wikiPageID "753521".
- Complemented_lattice wikiPageRevisionID "586863824".
- Complemented_lattice hasPhotoCollection Complemented_lattice.
- Complemented_lattice id "10477".
- Complemented_lattice id "6754".
- Complemented_lattice id "7822".
- Complemented_lattice id "7852".
- Complemented_lattice title "Complemented lattice".
- Complemented_lattice title "Orthocomplemented lattice".
- Complemented_lattice title "Relative complement".
- Complemented_lattice title "Uniquely complemented lattice".
- Complemented_lattice subject Category:Lattice_theory.
- Complemented_lattice comment "In the mathematical discipline of order theory, a complemented lattice is a bounded lattice (with least element 0 and greatest element 1), in which every element a has a complement, i.e. an element b satisfying a ∨ b = 1 and a ∧ b = 0.A relatively complemented lattice is a lattice such that every interval [c, d] is complemented. Complements need not be unique.An orthocomplementation on a complemented lattice is an involution which is order-reversing and maps each element to a complement.".
- Complemented_lattice label "Complemented lattice".
- Complemented_lattice label "Komplement (Verbandstheorie)".
- Complemented_lattice label "可補束".
- Complemented_lattice label "有补格".
- Complemented_lattice sameAs Komplement_(Verbandstheorie).
- Complemented_lattice sameAs 可補束.
- Complemented_lattice sameAs m.038gg_.
- Complemented_lattice sameAs Q5156434.
- Complemented_lattice sameAs Q5156434.
- Complemented_lattice wasDerivedFrom Complemented_lattice?oldid=586863824.
- Complemented_lattice depiction Fano_plane_Hasse_diagram.svg.
- Complemented_lattice isPrimaryTopicOf Complemented_lattice.