# Category:Definitions/Quotient Structures

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This category contains definitions related to Quotient Structures.

Related results can be found in Category:Quotient Structures.

Let $\struct {S, \circ}$ be an algebraic structure.

Let $\RR$ be a congruence relation on $\struct {S, \circ}$.

Let $S / \RR$ be the quotient set of $S$ by $\RR$.

Let $\circ_\RR$ be the operation induced on $S / \RR$ by $\circ$.

The **quotient structure defined by $\RR$** is the algebraic structure:

- $\struct {S / \RR, \circ_\RR}$

## Subcategories

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

### Q

## Pages in category "Definitions/Quotient Structures"

The following 3 pages are in this category, out of 3 total.