Abstract. G. Czédli expressed the conjecture that there exists a lattice which is a quasi-fractal but fails to be a fractal. In the present note we show that there exists a proper class of mutually non-isomorphic lattices (in fact, chains) having the mentioned property.

AMS Subject Classification (1991): 06B9, 06F15

Keyword(s): lattice, chain, fractal lattice, quasi-fractal lattice

Received May 19, 2009, and in revised form June 1, 2009. (Registered under 68/2009.)