---
tag: 19SCVKCRNH
kind: concept
name: Homogeneous relation
aliases: [binary-relation-on-a-set, binary-relation-over-a-set, empty-relation, endorelation, homogeneous-binary-relation, identity-relation, relation-on-a-set, universal-relation]
sources:
  - wikipedia: en:12987179@r1360375343
    locator: Homogeneous relation
    note: adopted
    mention: wikipedia://en/12987179
    sections: [Summary]
same_as:
  wikidata: Q54938846
  wikipedia: Homogeneous relation
inventory: [ZTTG2ZK7ZJ]
---

## Summary

In mathematics, a **homogeneous relation** (also called **endorelation**) on a set *X* is a [[binary relation|05AVARPXA2]] between *X* and itself, i.e. it is a subset of the [[Cartesian product|09CEDJYBKP]] $X \times X$. This is commonly phrased as "a relation on *X*" or "a (binary) relation over *X*". An example of a homogeneous relation is the relation of kinship, where the relation is between people.