On lattice embeddings of a lattice into its intervals
Ján Jakubík · Mathematica Slovaca · 2010
Abstract In connection with his investigation of convexities generated by fractal lattices, Czédli formulated a conjecture concerning lattice embeddings of a lattice into its intervals. In the present note we modify the conditions from Czédli’s conjecture; we consider only intervals having more than two elements. Further, we prove the validity of Czédli’s conjecture.