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In mathematics, a homogeneous relation (also called endorelation) on a set X is a binary relation between X and itself, i.e. it is a subset of the Cartesian...

connectedness, irreflexivity, and transitivity. A serial relation R is an endorelation on a set U. As stated by Russell, ∀ x ∃ y   x R y , {\displaystyle \forall...

described above is obtained; it is often called homogeneous relation (or endorelation) to distinguish it from its generalization. The above properties and...

{\displaystyle X=Y,} a binary relation is called a homogeneous relation (or endorelation). To emphasize the fact that X {\displaystyle X} and Y {\displaystyle...

converse, since it is a symmetric relation. In the monoid of binary endorelations on a set (with the binary operation on relations being the composition...