Category:Definitions/Relation Theory
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This category contains definitions related to Relation Theory.
Related results can be found in Category:Relation Theory.
Relation theory is the subfield of set theory concerned with the properties of relations and relational structures.
As a relation has the same conceptual definition as a (graph-theoretical) graph, it follows that there is considerable overlap between the fields of relation theory and graph theory.
Subcategories
This category has the following 39 subcategories, out of 39 total.
C
- Definitions/Correspondences (2 P)
E
G
H
- Definitions/Hasse Diagrams (1 P)
I
L
M
- Definitions/Maximal Elements (14 P)
- Definitions/Minimal Elements (9 P)
O
P
R
- Definitions/Restrictions (22 P)
S
T
- Definitions/Total Relations (5 P)
W
Pages in category "Definitions/Relation Theory"
The following 104 pages are in this category, out of 104 total.
A
C
- Definition:Cartesian Product of Relations
- Definition:Category of Relations
- Definition:Characteristic Function (Set Theory)/Relation
- Definition:Characteristic Function of Relation
- Definition:Circular Relation
- Definition:Closed under Partial Mapping
- Definition:Codomain (Relation Theory)
- Definition:Codomain of Relation
- Definition:Cofinal Subset
- Definition:Combinable
- Definition:Combinable Relations
- Definition:Combinable/Relations
- Definition:Comparable Elements
- Definition:Complement of Relation
- Definition:Composite Relation
- Definition:Composition of Relations
- Definition:Connected Relation
- Definition:Correspondence
- Definition:Cross-Relation
- Definition:Cross-Relation on Natural Numbers
D
- Definition:Defined (Partial Mapping)
- Definition:Defined at Element
- Definition:Defined on Set
- User:Dfeuer/Definition:Cone Compatible with Closed Ringoid
- User:Dfeuer/Definition:Relation Compatible with Closed Ringoid with Zero
- Definition:Domain (Relation Theory)
- Definition:Domain (Relation Theory)/Relation/General Definition
- Definition:Domain of General Relation
- Definition:Dual Relation
- Definition:Dual Relation/Complement of Inverse
- Definition:Dual Relation/Inverse of Complement
E
F
I
- Definition:Idempotence
- Definition:Idempotent Relation
- Definition:Image (Relation Theory)
- Definition:Induced Operation
- Definition:Infix Notation (Binary Relation)
- Definition:Infix Notation/Binary Relation
- Definition:Intersection of Relations
- Definition:Intersection of Relations/General Definition
- Definition:Intransitive Relation
- Definition:Inverse of Mapping
- Definition:Inverse Relation
- Definition:Inverse Relational Structure
- Definition:Irreducible Logical Matrix
M
R
- Definition:Range of Relation
- Definition:Rank Function for Relation
- Definition:Reflexive Closure
- Definition:Reflexive Relation
- Definition:Reflexivity
- Definition:Relation
- Definition:Relation Segment
- Definition:Relation Theory
- Definition:Relational Closure
- Definition:Relational Loop
- Definition:Relational Structure
- Definition:Restriction/Relation
- Definition:Right-Total Relation