2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73922For a class C of finite lattices, the question arises whether any lattice in C can be embedded into some atomistic, biatomic lattice in C. We provide answers to the question above for C being, respectively, --The class of all finite lattices; --The class of all finite lower bounded lattices (solved by the first author's earlier work). --The class of all finite join-semidistributive lattices (this problem was, until now, open). We solve the latter problem by finding a quasi-identity valid in all finite, atomistic, biatomic, join-semidistributive lattices but not in all finite join-semidistributive lattices.General MathematicsPrimary 06B99, 05B25, 51E99. Secondary: 51E30, 51D20, 05C20Embedding finite lattices into finite biatomic latticestext