meet-irreducible element

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• 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

• 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

• Prime number — Prime redirects here. For other uses, see Prime (disambiguation). A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is… …   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

• Europe, history of — Introduction       history of European peoples and cultures from prehistoric times to the present. Europe is a more ambiguous term than most geographic expressions. Its etymology is doubtful, as is the physical extent of the area it designates.… …   Universalium

• Stone duality — In mathematics, there is an ample supply of categorical dualities between certain categories of topological spaces and categories of partially ordered sets. Today, these dualities are usually collected under the label Stone duality, since they… …   Wikipedia

• List of order topics — This is a list of order topics, by Wikipedia page.An alphabetical list of many notions of order theory can be found in the order theory glossary. See also inequality, extreme value, optimization (mathematics), domain theory.Basic… …   Wikipedia

• List of order theory topics — Order theory is a branch of mathematics that studies various kinds of binary relations that capture the intuitive notion of ordering, providing a framework for saying when one thing is less than or precedes another. An alphabetical list of many… …   Wikipedia

• France — /frans, frahns/; Fr. /frddahonns/, n. 1. Anatole /ann nann tawl /, (Jacques Anatole Thibault), 1844 1924, French novelist and essayist: Nobel prize 1921. 2. a republic in W Europe. 58,470,421; 212,736 sq. mi. (550,985 sq. km). Cap.: Paris. 3.… …   Universalium

• mysticism — /mis teuh siz euhm/, n. 1. the beliefs, ideas, or mode of thought of mystics. 2. a doctrine of an immediate spiritual intuition of truths believed to transcend ordinary understanding, or of a direct, intimate union of the soul with God through… …   Universalium

• Hermeneutics — Gadamer and Ricoeur G.B.Madison THE HISTORICAL BACKGROUND: ROMANTIC HERMENEUTICS Although the term ‘hermeneutics’ (hermeneutica) is, in its current usage, of early modern origin,1 the practice it refers to is as old as western civilization itself …   History of philosophy