semimodular lattice
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Semimodular lattice — This article is about generalizations of modularity in terms of the atomic covering relation. For M symmetry, the generalization of modularity in terms of modular pairs, see modular lattice. The centred hexagon lattice S7, also known as D2, is… … Wikipedia
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
Modular lattice — Hasse diagram of N5, the smallest non modular lattice. In the branch of mathematics called order theory, a modular lattice is a lattice that satisfies the following self dual condition: Modular law x ≤ b implies… … Wikipedia
Antimatroid — In mathematics, an antimatroid is a formal system that describes processes in which a set is built up by including elements one at a time, and in which an element, once available for inclusion, remains available until it is included. Antimatroids … 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
List of mathematics articles (S) — NOTOC S S duality S matrix S plane S transform S unit S.O.S. Mathematics SA subgroup Saccheri quadrilateral Sacks spiral Sacred geometry Saddle node bifurcation Saddle point Saddle surface Sadleirian Professor of Pure Mathematics Safe prime Safe… … Wikipedia
Union-closed sets conjecture — In combinatorial mathematics, the union closed sets conjecture is an elementary problem, posed by Péter Frankl in 1979 and still open as of 2008. A family of sets is said to be union closed if the union of any two sets from the family remains in… … Wikipedia
Semimodularer Verband — Der mit einem Mittelpunkt versehene Hexagonverband S7, auch als D2 bekannt, ist semimodular aber nicht modular. Dieser Artikel behandelt Verallgemeinerungen der Modularität, die mit Hilfe der Bedeckungsrelation definiert sind. Für M Symmetrie,… … Deutsch Wikipedia
Modularer Verband — Hassediagramm von N5, dem kleinsten nichtmodularen Verband. Ein modularer Verband im Sinne der Ordnungstheorie ist ein Verband, der die folgende selbst duale Bedingung erfüllt (Modularitätsgesetz): impliziert … Deutsch Wikipedia
