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The sets of the integrable lattice equations, which generalize the Todalattice, are considered. The hierarchies of the first integrals andinfinitesimal symmetries are found. The properties of the multi-solitonsolutions are discussed.Comment: 10 pages, LaTeX, revised version: the references, the hierarchies of  the first integrals and infinitesimal symmetries are adde

The lattice equations of the Toda type with an interaction between a few neighbourhoods