Lattice-inadmissible incidence structures

František Machala, Vladimír Slezák · Discussiones Mathematicae - General Algebra and Applications · 2004

Join-independent and meet-independent sets in complete lattices were defined in [6].According to [6], to each complete lattice (L, ≤) and a cardinal number p one can assign (in a unique way) an incidence structure J p L of independent sets of (L, ≤).In this paper some lattice-inadmissible incidence structures are founded, i.e. such incidence structures that are not isomorphic to any incidence structure J p L .

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