Field of sets
In mathematics a field of sets is a pair where is a set and is an algebra over i.e., a non-empty subset of the power set of closed under the intersection and union of pairs of sets and under complements of individual sets. In other words, forms a subalgebra of the power set Boolean algebra of . (Many authors refer to itself as a field of sets. The word "field" in "field of sets" is not used with the meaning of field from field theory.) Elements of are called points and those of are called complexes and are said to be the admissible sets of .
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Field of sets
In mathematics a field of sets is a pair where is a set and is an algebra over i.e., a non-empty subset of the power set of closed under the intersection and union of pairs of sets and under complements of individual sets. In other words, forms a subalgebra of the power set Boolean algebra of . (Many authors refer to itself as a field of sets. The word "field" in "field of sets" is not used with the meaning of field from field theory.) Elements of are called points and those of are called complexes and are said to be the admissible sets of .
has abstract
Pour les articles homonymes, ...... es bornés de la droite réelle.
@fr
Ciało zbiorów (albo algebra zb ...... ce, topologii i kombinatoryce.
@pl
In der Mathematik ist (Mengen- ...... iellen algebraischen Struktur.
@de
In matematica, un'algebra di i ...... dditive (definite su algebre).
@it
In mathematics a field of sets ...... epresented as a field of sets.
@en
Алгебра множеств в теории множ ...... зности) и объединения (суммы).
@ru
在数学中,集合域是有序对<X, F>,其中 X 是集合,F ...... 的表示理论中扮演中心角色。所有布尔代数都可以被表示为集合域。
@zh
数学において、有限加法族(ゆうげんかほうぞく、finitel ...... の点、F の元を集合体の複体(complex; 叢)と呼ぶ。
@ja
Wikipage page ID
Wikipage revision ID
708,761,022
title
Algebra of sets
subject
comment
Pour les articles homonymes, ...... éen unitaire ou clan unitaire.
@fr
Ciało zbiorów (albo algebra zb ...... ce, topologii i kombinatoryce.
@pl
In der Mathematik ist (Mengen- ...... Bezeichnung als Mengenkörper.
@de
In matematica, un'algebra di i ...... entazioni in algebra booleana.
@it
In mathematics a field of sets ...... to be the admissible sets of .
@en
Алгебра множеств в теории множ ...... зности) и объединения (суммы).
@ru
在数学中,集合域是有序对<X, F>,其中 X 是集合,F ...... 的表示理论中扮演中心角色。所有布尔代数都可以被表示为集合域。
@zh
数学において、有限加法族(ゆうげんかほうぞく、finitel ...... の点、F の元を集合体の複体(complex; 叢)と呼ぶ。
@ja
label
Algebra (Mengensystem)
@de
Algebra di insiemi
@it
Algèbre d'ensembles
@fr
Ciało zbiorów
@pl
Field of sets
@en
Алгебра множеств
@ru
有限加法族
@ja
集合域
@zh