relation distributive

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• Distributive lattice — In mathematics, distributive lattices are lattices for which the operations of join and meet distribute over each other. The prototypical examples of such structures are collections of sets for which the lattice operations can be given by set… …   Wikipedia

• Distributive property — In mathematics, and in particular in abstract algebra, distributivity is a property of binary operations that generalizes the distributive law from elementary algebra. For example: 2 × (1 + 3) = (2 × 1) + (2 × 3). In the left hand side of the… …   Wikipedia

• Distributive lattice/Proofs — Lemma 1Every totally ordered set is a distributive lattice with max as join and min as meet.ProofWe will show: : x vee (y wedge z) = (x vee y)wedge(x vee z)We may suppose yle z (If not, zle y and we may switch y and z.) Recall that yle z is… …   Wikipedia

• Covering relation — For other uses of Cover in mathematics, see Cover (mathematics). The Hasse diagram of the power set of three elements, partially ordered by inclusion. In mathematics, especially order theory, the covering relation of a partially ordered set is… …   Wikipedia

• Glossary of order theory — This is a glossary of some terms used in various branches of mathematics that are related to the fields of order, lattice, and domain theory. Note that there is a structured list of order topics available as well. Other helpful resources might be …   Wikipedia

• List of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… …   Wikipedia

• Outline of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… …   Wikipedia

• Treillis (ensemble ordonné) — Pour les articles homonymes, voir Treillis. Le terme treillis provient de la forme du diagramme de Hasse associé à la relation d ordre. Un …   Wikipédia en Français

• Lattice (order) — See also: Lattice (group) The name lattice is suggested by the form of the Hasse diagram depicting it. Shown here is the lattice of partitions of a four element set {1,2,3,4}, ordered by the relation is a refinement of . In mathematics, a… …   Wikipedia

• Heyting algebra — In mathematics, Heyting algebras are special partially ordered sets that constitute a generalization of Boolean algebras, named after Arend Heyting. Heyting algebras arise as models of intuitionistic logic, a logic in which the law of excluded… …   Wikipedia

• Relational algebra — Not to be confused with Relation algebra. Relational algebra, an offshoot of first order logic (and of algebra of sets), deals with a set of finitary relations (see also relation (database)) that is closed under certain operators. These operators …   Wikipedia