Lattice (order)
In mathematics, a lattice is one of the fundamental algebraic structures used in abstract algebra. It consists of a partially ordered set in which every two elements have a unique supremum (also called a least upper bound or join) and a unique infimum (also called a greatest lower bound or meet). An example is given by the natural numbers, partially ordered by divisibility, for which the unique supremum is the least common multiple and the unique infimum is the greatest common divisor.
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Bounded latticeComplement (order theory)Conditionally complete latticeContinuous latticeJoin-irreducibleJoin-primeJoin (lattice theory)Jordan-Dedekind chain conditionJordan-Dedekind latticeJordan-Dedekind propertyJordan-dedekind latticeJordan-dedekind propertyJordan–Dedekind chain conditionJordan–Dedekind latticeLattice (algebra)Lattice (order theory)Lattice AutomorphismLattice EndomorphismLattice HomomorphismLattice IsomorphismLattice automorphismLattice endomorphismLattice homomorphismLattice isomorphismLattice orderLattice theoryMeet-irreducibleMeet-primeMeet (lattice theory)Partial latticeSublattice
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Lattice (order)
In mathematics, a lattice is one of the fundamental algebraic structures used in abstract algebra. It consists of a partially ordered set in which every two elements have a unique supremum (also called a least upper bound or join) and a unique infimum (also called a greatest lower bound or meet). An example is given by the natural numbers, partially ordered by divisibility, for which the unique supremum is the least common multiple and the unique infimum is the greatest common divisor.
has abstract
Ein Verband ist in der Mathema ...... nschränkungen nicht verwendet.
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Em matemática, especialmente n ...... ior limite inferior) de {a,b}.
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En matemáticas, específicament ...... r la relación de refinamiento.
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En mathématiques, un treillis ...... cédemment, l'autre algébrique.
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In de wiskunde is een tralie e ...... len aan een traliewerk denken.
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In matematica, un reticolo (la ...... azione dei diagrammi di Hasse.
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In mathematics, a lattice is o ...... ell as algebraic descriptions.
@en
Kraty (ang. lattice) są strukt ...... sensie częściowych porządków:
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Решётка (ранее использовался т ...... непустых конечных подмножеств.
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在数学中,格是其非空有限子集都有一个上确界(叫并)和一个下确 ...... 布尔代数。这些"格样式"的结构都允许序理论和抽象代数的描述。
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739,109,082
title
Lattice-ordered group
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comment
Ein Verband ist in der Mathema ...... ), (rationale Zahlen) oder und
@de
Em matemática, especialmente n ...... ior limite inferior) de {a,b}.
@pt
En matemáticas, específicament ...... r la relación de refinamiento.
@es
En mathématiques, un treillis ...... cédemment, l'autre algébrique.
@fr
In de wiskunde is een tralie e ...... len aan een traliewerk denken.
@nl
In matematica, un reticolo (la ...... azione dei diagrammi di Hasse.
@it
In mathematics, a lattice is o ...... s the greatest common divisor.
@en
Kraty (ang. lattice) są strukt ...... sensie częściowych porządków:
@pl
Решётка (ранее использовался т ...... непустых конечных подмножеств.
@ru
在数学中,格是其非空有限子集都有一个上确界(叫并)和一个下确 ...... 布尔代数。这些"格样式"的结构都允许序理论和抽象代数的描述。
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label
Krata (porządek)
@pl
Lattice (order)
@en
Reticolo (matematica)
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Reticulado
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Retículo (matemáticas)
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Tralie (wiskunde)
@nl
Treillis (ensemble ordonné)
@fr
Verband (Mathematik)
@de
Решётка (алгебра)
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束 (束論)
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