Completely Distributive Complete Lattices

From MaRDI portal
Publication:5816743

DOI10.2307/2032165zbMath0049.30304OpenAlexW4233022570MaRDI QIDQ5816743

George N. Raney

Publication date: 1952

Full work available at URL: https://doi.org/10.2307/2032165




Related Items

On duality and model theory for polyadic spacesSemantic Analysis of Subexponential Modalities in Distributive Non-commutative Linear LogicSome partial results on the cancellation law for the tensor product of complete latticesTransporting continuity properties from a poset to its subposetsA Subdirect-Union Representation for Completely Distributive Complete LatticesCompletely precontinuous posets.On rings of setsRaney algebras and duality for \(T_0\)-spacesContinuous monadsInfinite intersection typesCompleteness results for intuitionistic and modal logic in a categorical settingA four for the price of one duality principle for distributive spacesExplicit formulae for the greatest least-squares and minimum norm \(g\)-inverses and the unique group inverse of matrices over commutative residuated dioidsFlat morphology on power latticesEnriched Stone-type dualitiesHeyting* algebras, topological Boolean algebras and P.O. systemsComplete congruences on topologies and down-set latticesBoolean topological distributive lattices and canonical extensionsInfinite distributive laws versus local connectedness and compactness propertiesThe convolution algebraConstructive complete distributivity. IFuzzy sets and De Morgan algebrasNote on the self-duality of the unrestricted distributive law in complete latticesThe rise and fall of \(V\)-functorsSection-retraction-pairs between fuzzy domainsProbabilistisch kompakte L-unscharfe MengenSome new intrinsic topologies on complete lattices and the Cartesian closedness of the category of strongly continuous latticesLattice-theoretic contexts and their concept lattices via Galois idealsGeneralization of Continuous PosetsOn finiteness conditions in semigroupsContinuity spaces: Reconciling domains and metric spacesQuantales, generalised premetrics and free localesA subdirect decomposition of a semigroup of all fuzzy sets in a semigroupm-Algebraic lattices in formal concept analysisArboreal categories and equi-resource homomorphism preservation theoremsArboreal Categories: An Axiomatic Theory of ResourcesRepresentation theorems for L-fuzzy quantitiesB-frame dualitySubalgebra lattices of mono-unary algebrasUnary-determined distributive \(\ell \)-magmas and bunched implication algebrasUnnamed ItemUnnamed ItemGeneral Stone duality.Eine Kennzeichnung topologischer Räume durch VervollstaendigungenUnities and negation: On the representation of finite latticesOn topologies defined by irreducible setsOn Lattice-Ordered Rees Matrix Γ-SemigroupsA quantified coalgebraic van Benthem theoremDuality beyond sober spaces: Topological spaces and observation framesNew representations of algebraic domains and algebraic L-domains via closure systemsOn subset families that form a continuous lattice$\frak m$-ideal topologies in ordered setsConvergence and quantale-enriched categoriesFinite-valued algebraic latticesDistributive Sublattices of a LatticeInvariant functionals on completely distributive latticesParacompactness in \(L\)-topological spacesQuantitative domains via fuzzy sets. I: Continuity of fuzzy directed complete posetsThe category of pointwise S-proximity spacesThe categorical equivalence between algebraic domains and F-augmented closure spaces.Dcpo-completion of posetsMetrization theorems in \(L\)-topological spaces\(\sigma\)-convergence theory and its applications in fuzzy latticesThe category of supercontinuous posetsComplete Regularity: Kopperman's duality {\it \`{a} la quantale}Hausdorff coalgebrasFuzzy measures as extensions of stochastic measuresA Stone-type duality for \(s T_0\) stratified Alexandrov \(L\)-topological spacesValue semigroups, value quantales, and positivity domainsThe topology of a quantale valued metric spaceStone duality, topological algebra, and recognition.Axiomatic approaches to rough approximation operators via ideal on a complete completely distributive latticeDependence of finiteness conditions in distributive latticesLocally atomic upper locally distributive latticesMeet meets join: the interaction between pooled and common knowledgeRepresentation of bifinite domains by BF-closure spacesCanonical extensions, free completely distributive lattices, and complete retractsProjectives and injectives in the category of complete lattices with residuated mappingsExtending set functors to generalised metric spacesUnnamed ItemLattices of gamesOn the semigroup of closure operationsOn the k point density problem for band-diagonal M-basesVerbandstheoretische Kennzeichnung vollständiger MengenringeÜber den Untergruppenverband einer Abelschen Operatorgruppe. I: \(\mathfrak m\)-Verbände. II: Distributive und \(\mathfrak m\)-Verbände von Untergruppen einer Abelschen OperatorgruppeQuasi-Atoms and Complete DistributivityCompleteness in probabilistic quasi-uniform spacesLim-inf convergence in partially ordered setsRough sets determined by quasiordersStandard completions for quasiordered setsM-distributive latticesAbstract reflexive sublattices and completely distributive collapsibilityReflexive algebras with finite width lattices: Tensor products, cohomology, compact perturbationsToward an infinitary logic of domains: Abramsky logic for transition systemsOn defining completely distributiveDistributive laws for concept latticesMaximal point spaces of closed interval posetsClosure spaces and completions of posetsThe essence of ideal completion in quantitative formA Galois problem for mappingsTensorial decomposition of concept lattices