Category:Definitions/Rings of Sets

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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:      \(\ds \forall A, B \in \RR:\) \(\ds A \symdif B \in \RR \)             


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