Permutability of Congruences on d $$_{0}$$ -Algebras

We introduce a property weaker than congruence-permutability and show that every d\(_{\text {0}}\)-algebra has this property. We also show that in general d\(_{\text {0}}\)-algebras are not congruence-permutable, and that a sufficient condition for a d\(_{\text {0}}\)-algebra to be congruence-permutable is being directed. However this condition is not necessary.