# Category:Definitions/Rings of Sets

This category contains definitions related to Rings of Sets.
Related results can be found in Category:Rings of Sets.

A ring of sets $\RR$ is a system of sets with the following properties:

 $(\text {RS} 1_1)$ $:$ Non-Empty: $\ds \RR \ne \O$ $(\text {RS} 2_1)$ $:$ Closure under Intersection: $\ds \forall A, B \in \RR:$ $\ds A \cap B \in \RR$ $(\text {RS} 3_1)$ $:$ Closure under Symmetric Difference: $\ds \forall A, B \in \RR:$ $\ds A \symdif B \in \RR$

## Subcategories

This category has the following 2 subcategories, out of 2 total.

## Pages in category "Definitions/Rings of Sets"

The following 6 pages are in this category, out of 6 total.