What is a relation $R$ called for which $\forall x,y,z: \neg (x R y \wedge y R z)$?

Question

For a project, I am working with relations $R$ with the property:

$\neg\exists x,y,z: x R y \wedge y R z$

Does this property have a name? If so, what is it?

Answer 1

For posets this property is called having height $2$.

The height of a poset is the maximum cardinality of a totally-ordered subset.