- closed lattice
- мат.замкнутая решетка
English-Russian scientific dictionary. 2008.
closed lattice
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Lattice of subgroups — In mathematics, the lattice of subgroups of a group G is the lattice whose elements are the subgroups of G, with the partial order relation being set inclusion.In this lattice, the join of two subgroups is the subgroup generated by their union,… … Wikipedia
lattice — Synonyms and related words: Kekule formula, arabesque, atomic cluster, atomic pile, basketry, basketwork, bay, bay window, benzene ring, bow window, branched chain, breeder reactor, bricks, cadre, cancellation, case, casement, casement window,… … Moby Thesaurus
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
Reciprocal lattice — In physics, the reciprocal lattice of a lattice (usually a Bravais lattice) is the lattice in which the Fourier transform of the spatial function of the original lattice (or direct lattice) is represented. This space is also known as momentum… … Wikipedia
Post's lattice — In logic and universal algebra, Post s lattice denotes the lattice of all clones on a two element set {0, 1}, ordered by inclusion. It is named for Emil Post, who published a complete description of the lattice in 1941 [E. L. Post, The two valued … 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
Complemented lattice — Hasse diagram of a complemented lattice A point and a line of the Fano plane are complements, when In the mathematical discipline of order theory, a complemented lattice is a bounded lattice in which every element a … Wikipedia
Integrally closed — In mathematics, more specifically in abstract algebra, the concept of integrally closed has two meanings, one for groups and one for rings. Commutative rings Main article: Integrally closed domain A commutative ring R contained in a ring S is… … Wikipedia
Leech lattice — In mathematics, the Leech lattice is an even unimodular lattice Λ24 in 24 dimensional Euclidean space E24 found by John Leech (1967). Contents 1 History 2 Characterization 3 Properties … Wikipedia
Complete lattice — In mathematics, a complete lattice is a partially ordered set in which all subsets have both a supremum (join) and an infimum (meet). Complete lattices appear in many applications in mathematics and computer science. Being a special instance of… … Wikipedia
Orthocomplemented lattice — In lattice theory, a branch of the mathematical discipline called order theory, an orthocomplemented lattice (or just ortholattice) is an algebraic structure consisting of a bounded lattice equipped with an orthocomplementation, i.e. an order… … Wikipedia
