Boolean algebra | Families of sets

Field of sets

In mathematics, a field of sets is a mathematical structure consisting of a pair consisting of a set and a family of subsets of called an algebra over that contains the empty set as an element, and is closed under the operations of taking complements in finite unions, and finite intersections. Fields of sets should not be confused with fields in ring theory nor with fields in physics. Similarly the term "algebra over " is used in the sense of a Boolean algebra and should not be confused with algebras over fields or rings in ring theory. Fields of sets play an essential role in the representation theory of Boolean algebras. Every Boolean algebra can be represented as a field of sets. (Wikipedia).

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From playlist Set Theory

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From playlist Set Theory

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From playlist Sets (Discrete Math)

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From playlist Basics: Field Theory

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From playlist Set Theory

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From playlist Set Theory by Mathoma

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From playlist Sets

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From playlist Sets (Discrete Math)

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From playlist Fall 2021 Online Kolchin Seminar in Differential Algebra

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From playlist WordPress Plugins Development Tutorials

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From playlist Spring 2019 Kolchin Seminar

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From playlist Set Theory by Mathoma

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From playlist MIT 18.100A Real Analysis, Fall 2020

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