Definition:Algebra of Sets

Definition 2
Let $S$ be any non-empty set.

Then $\left\{{S, \varnothing}\right\}$ is (trivially) an algebra of sets, where $S$ is the unit.

Also see

 * Equivalence of Definitions of Algebra of Sets


 * Power Set is Algebra of Sets
 * Null Set and Set form Algebra of Sets

Historical Note
The concept of an algebra of sets was invented by George Boole, after whom Boolean algebra was named.