Definition:Antisymmetric Relation

Definition
Let $\mathcal R \subseteq S \times S$ be a relation in $S$.

Also known as
Some sources render this concept as anti-symmetric relation.

Also see

 * Equivalence of Definitions of Antisymmetric Relation


 * Definition:Symmetry (Relation)


 * Definition:Symmetric Relation
 * Definition:Asymmetric Relation
 * Definition:Non-symmetric Relation