- complemented lattice
- матем. структура с дополнением
Большой англо-русский и русско-английский словарь. 2001.
complemented lattice
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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
Relatively complemented lattice — In mathematics, a relatively complemented lattice is a lattice L in which for all a , b , c in L with a le; b le; c there is some x in L such that x or; b = c and x and; b = a . An element x with this property is a complement of b relative to the … Wikipedia
Complemented group — In mathematics, in the realm of group theory, the term complemented group is used in two distinct, but similar ways. In (Hall 1937), a complemented group is one in which every subgroup has a group theoretic complement. Such groups are called… … 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
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
complemented — /kom pleuh men tid/, adj. 1. having a complement or complements. 2. Math. (of a lattice containing a smallest element and a greatest element) having the property that corresponding to each element of the lattice is a second element such that the… … Universalium
complemented — past of complement * * * /kom pleuh men tid/, adj. 1. having a complement or complements. 2. Math. (of a lattice containing a smallest element and a greatest element) having the property that corresponding to each element of the lattice is a… … Useful english dictionary
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
Congruence lattice problem — In mathematics, the congruence lattice problem asks whether every algebraic distributive lattice is isomorphic to the congruence lattice of some other lattice. The problem was posed by Robert P. Dilworth, and for many years it was one of the most … Wikipedia
Map of lattices — The concept of a lattice arises in order theory, a branch of mathematics. The Hasse diagram below depicts the inclusion relationships among some important subclasses of lattices. Proofs of the relationships in the map 1. A boolean algebra is a… … 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
