Geodesic
Lattices generated by modular elements
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2015), pp. 84-86

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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 $L$.
Keywords: modular lattice, modular element. 
@article{IVM_2015_12_a6,
     author = {M. P. Shushpanov},
     title = {Lattices generated by modular elements},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {84--86},
     publisher = {mathdoc},
     number = {12},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2015_12_a6/}
}
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M. P. Shushpanov. Lattices generated by modular elements. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2015), pp. 84-86. http://geodesic.mathdoc.fr/item/IVM_2015_12_a6/