Axiom:Algebra of Sets Axioms

Definition
Let $X$ be a set.

Let $\powerset X$ be the power set of $X$.

Let $\RR \subseteq \powerset X$ be a set of subsets of $X$.

$\RR$ is an algebra of sets the following axioms hold:

These criteria are called the algebra of sets axioms.

Also see

 * Algebra of sets