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- Ring_of_sets abstract "In mathematics, there are two different notions of a ring of sets, both referring to certain families of sets.In order theory, a nonempty family of sets is called a ring (of sets) if it is closed under intersection and union. That is, for any ,andIn measure theory, a ring of sets is instead a family closed under unions and set-theoretic differences. That is, it obeys the two propertiesandThis implies that it is also closed under symmetric difference and intersection, because of the identitiesandTogether, these operations give the structure of a boolean ring. Conversely, every family of sets closed under both symmetric difference and intersection is also closed under union and differences.".
- Ring_of_sets wikiPageExternalLink www.encyclopediaofmath.org.
- Ring_of_sets wikiPageExternalLink Ring_of_sets.
- Ring_of_sets wikiPageID "2686481".
- Ring_of_sets wikiPageRevisionID "595584825".
- Ring_of_sets hasPhotoCollection Ring_of_sets.
- Ring_of_sets subject Category:Set_families.
- Ring_of_sets type Abstraction100002137.
- Ring_of_sets type Family108078020.
- Ring_of_sets type Group100031264.
- Ring_of_sets type Organization108008335.
- Ring_of_sets type SetFamilies.
- Ring_of_sets type SocialGroup107950920.
- Ring_of_sets type Unit108189659.
- Ring_of_sets type YagoLegalActor.
- Ring_of_sets type YagoLegalActorGeo.
- Ring_of_sets type YagoPermanentlyLocatedEntity.
- Ring_of_sets comment "In mathematics, there are two different notions of a ring of sets, both referring to certain families of sets.In order theory, a nonempty family of sets is called a ring (of sets) if it is closed under intersection and union. That is, for any ,andIn measure theory, a ring of sets is instead a family closed under unions and set-theoretic differences.".
- Ring_of_sets label "Anillo de conjuntos".
- Ring_of_sets label "Anneau d'ensembles".
- Ring_of_sets label "Pierścień zbiorów".
- Ring_of_sets label "Ring (Mengensystem)".
- Ring_of_sets label "Ring of sets".
- Ring_of_sets label "Кольцо (теория множеств)".
- Ring_of_sets label "集合環".
- Ring_of_sets sameAs Ring_(Mengensystem).
- Ring_of_sets sameAs Anillo_de_conjuntos.
- Ring_of_sets sameAs Anneau_d'ensembles.
- Ring_of_sets sameAs 集合環.
- Ring_of_sets sameAs Pierścień_zbiorów.
- Ring_of_sets sameAs m.07xz8_.
- Ring_of_sets sameAs Q2064647.
- Ring_of_sets sameAs Q2064647.
- Ring_of_sets sameAs Ring_of_sets.
- Ring_of_sets wasDerivedFrom Ring_of_sets?oldid=595584825.
- Ring_of_sets isPrimaryTopicOf Ring_of_sets.