Category:Rings of Sets
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This category contains results about Rings of Sets.
Definitions specific to this category can be found in Definitions/Rings of Sets.
A system of sets $\RR$ is a ring of sets if and only if $\RR$ satisfies the ring of sets axioms:
\((\text {RS} 1_1)\) | $:$ | 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 "Rings of Sets"
The following 7 pages are in this category, out of 7 total.