Abstract
We prove that the lattice generated by three modular elements is modular. For every n > 3 we construct a nonmodular lattice L generated by n elements each of which is modular in L.
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Original Russian Text © M.P. Shushpanov, 2015, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, No. 12, pp. 84–86.
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Shushpanov, M.P. Lattices generated by modular element. Russ Math. 59, 73–75 (2015). https://doi.org/10.3103/S1066369X15120075
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DOI: https://doi.org/10.3103/S1066369X15120075