A Boolean algebra of subsets contains the empty set and is closed under finite unions and complements. It is consequently closed under finite intersections, differences, and symmetric differences.
In mathematics, particularly in set theory, a **field of sets** (also known as a **system of sets**) is a collection of sets that is closed under certain operations. Specifically, a field of sets must satisfy the following properties: 1. **Contains the Universal Set**: The collection contains the universal set (the set containing all elements under consideration).
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