Algebra of sets/Infobox

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Algebra of sets
[ilmath]\mathcal{A}\subseteq\mathcal{P}(X)[/ilmath]
For an algebra of sets, [ilmath]\mathcal{A} [/ilmath] on [ilmath]X[/ilmath]
Defining properties:
1) [ilmath]\forall A\in\mathcal{A}[A^C\in\mathcal{A}][/ilmath]
2) [ilmath]\forall A,B\in\mathcal{A}[A\cup B\in\mathcal{A} ][/ilmath]