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In mathematics, the algebra of sets, not to be confused with the mathematical structure of an algebra of sets, defines the properties and laws of sets, the set-theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion. It also provides systematic … See more
The algebra of sets is the set-theoretic analogue of the algebra of numbers. Just as arithmetic addition and multiplication are See more
Each of the identities stated above is one of a pair of identities such that each can be transformed into the other by interchanging $${\displaystyle \cup }$$ and See more
• σ-algebra is an algebra of sets, completed to include countably infinite operations.
• Axiomatic set theory
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• Field of sets See moreThe binary operations of set union ($${\displaystyle \cup }$$) and intersection ($${\displaystyle \cap }$$) satisfy many identities. … See more
The following proposition says that inclusion, that is the binary relation of one set being a subset of another, is a partial order.
PROPOSITION 6: If $${\displaystyle A}$$, $${\displaystyle B}$$ and $${\displaystyle C}$$ See moreWikipedia text under CC-BY-SA license Sets (Maths) - Notation, Types, Symbols & Examples - BYJU'S
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