## Some properties of lattice homomorphisms.(English)Zbl 0671.06004

From the abstract. Let L be a chain and K, $$K_ 1$$ be lattices. The author shows that an isomorphism of the powers $$L^ K$$, $$L^{K_ 1}$$ does not imply an isomorphism of the lattices K, $$K_ 1$$. In particular: for any lattice K there exists a distributive lattice $$K_ 1$$ such that the ordered sets $$L^ K$$, $$L^{K_ 1}$$ are isomorphic.