Axiom:Algebra of Sets Axioms

Definition
Let $S$ be a set.

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

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

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

These criteria are called the algebra of sets axioms.

Also see

 * Definition:Algebra of Sets