# Category:Rings of Sets

This category contains results about Rings of Sets.
Definitions specific to this category can be found in Definitions/Rings of Sets.

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

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

## Subcategories

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

## Pages in category "Rings of Sets"

The following 7 pages are in this category, out of 7 total.