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 3 subcategories, out of 3 total.
Q
- Definitions/Quotient Rings (5 P)
Pages in category "Definitions/Quotient Structures"
The following 4 pages are in this category, out of 4 total.