Category:Definitions/Quotient Sets
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This category contains definitions related to Quotient Sets.
Related results can be found in Category:Quotient Sets.
Let $\RR$ be an equivalence relation on a set $S$.
For any $x \in S$, let $\eqclass x \RR$ be the $\RR$-equivalence class of $x$.
The quotient set of $S$ induced by $\RR$ is the set $S / \RR$ of $\RR$-classes of $\RR$:
- $S / \RR := \set {\eqclass x \RR: x \in S}$
Subcategories
This category has the following 4 subcategories, out of 4 total.
C
Q
- Definitions/Quotient Rings (5 P)
Pages in category "Definitions/Quotient Sets"
The following 2 pages are in this category, out of 2 total.