Complete Boolean algebra

http://dbpedia.org/resource/Complete_Boolean_algebra

순서론에서 완비 불 대수(完備Boole代數, 영어: complete Boolean algebra)는 완비 격자인 불 대수이다. rdf:langString
在数学中,完全布尔代数是所有子集都有上确界的布尔代数。完全布尔代数在力迫理论中有重要作用。任何布尔代数A都有一A是其子代数的最小的完全布尔代数。作为偏序集合,这种 A 的补全叫做。 rdf:langString
In mathematics, a complete Boolean algebra is a Boolean algebra in which every subset has a supremum (least upper bound). Complete Boolean algebras are used to construct Boolean-valued models of set theory in the theory of forcing. Every Boolean algebra A has an essentially unique completion, which is a complete Boolean algebra containing A such that every element is the supremum of some subset of A. As a partially ordered set, this completion of A is the Dedekind–MacNeille completion. rdf:langString
rdf:langString Complete Boolean algebra
rdf:langString 완비 불 대수
rdf:langString 完全布尔代数
xsd:integer 1839944
xsd:integer 1109979689
rdf:langString D.A.
rdf:langString b/b016920
rdf:langString Vladimirov
rdf:langString Boolean algebra
rdf:langString In mathematics, a complete Boolean algebra is a Boolean algebra in which every subset has a supremum (least upper bound). Complete Boolean algebras are used to construct Boolean-valued models of set theory in the theory of forcing. Every Boolean algebra A has an essentially unique completion, which is a complete Boolean algebra containing A such that every element is the supremum of some subset of A. As a partially ordered set, this completion of A is the Dedekind–MacNeille completion. More generally, if κ is a cardinal then a Boolean algebra is called κ-complete if every subset of cardinality less than κ has a supremum.
rdf:langString 순서론에서 완비 불 대수(完備Boole代數, 영어: complete Boolean algebra)는 완비 격자인 불 대수이다.
rdf:langString 在数学中,完全布尔代数是所有子集都有上确界的布尔代数。完全布尔代数在力迫理论中有重要作用。任何布尔代数A都有一A是其子代数的最小的完全布尔代数。作为偏序集合,这种 A 的补全叫做。
xsd:nonNegativeInteger 9553

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