Hello,

I have this problem to solve and I have no idea how to do it...

Show that the class of Abelian groups has the CEP. Does the class of lattices have the CEP?

An algebra A has the congruence extension property (CEP) if for every $\displaystyle B \leqslant A$ and $\displaystyle \theta \in Con B$ there is a $\displaystyle \phi \in Con A$ such that $\displaystyle \theta= \phi \cap B^2$. A class K of algebras has the CEP if every algebra in the class has the CEP.

How can I solve this?

Thanks for all your hints.