Category:Definitions/Equivalence Relations
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This category contains definitions related to Equivalence Relations.
Related results can be found in Category:Equivalence Relations.
Let $\RR$ be a relation on a set $S$.
Let $\RR$ be:
- $(1): \quad$ reflexive
- $(2): \quad$ symmetric
- $(3): \quad$ transitive
Then $\RR$ is an equivalence relation on $S$.
Subcategories
This category has the following 6 subcategories, out of 6 total.
C
E
Q
Pages in category "Definitions/Equivalence Relations"
The following 30 pages are in this category, out of 30 total.
C
E
- Definition:Equivalence Class
- Definition:Equivalence Class/Notation
- Definition:Equivalence Class/Representative
- Definition:Equivalence Relation
- Definition:Equivalence Relation Compatible with Operation
- Definition:Equivalence Relation Induced by Mapping
- Definition:Equivalence Relation Induced by Partition
- Definition:Equivalence Relation/Also denoted as
- Definition:Equivalence Relation/Also known as
- Definition:Equivalence Relation/Definition 1
- Definition:Equivalence Relation/Definition 2
S
- Definition:Saturated Set (Equivalence Relation)
- Definition:Saturated Set (Equivalence Relation)/Definition 1
- Definition:Saturated Set (Equivalence Relation)/Definition 2
- Definition:Saturated Set (Equivalence Relation)/Definition 3
- Definition:Saturation (Equivalence Relation)
- Definition:Saturation (Equivalence Relation)/Definition 1
- Definition:Saturation (Equivalence Relation)/Definition 2
- Definition:Saturation (Equivalence Relation)/Definition 3
- Definition:Saturation Under Equivalence Relation
- Definition:Semigroup with respect to Equivalence Relation