Geodesic
Free 3-Generated Lattices with Standard Element Among Generators
Algebra i logika, Tome 57 (2018) no. 6, pp. 619-638

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We consider 3-generated lattices among generators of which there are elements of distributive and modular types, and one of the generators is necessarily standard. For each triple of such generators, we answer the question whether a lattice generated by that triple is finite.
Keywords: lattice, free lattice, standard element, distributive element, left modular element, right modular element. 
@article{AL_2018_57_6_a0,
     author = {A. G. Gein and M. P. Shushpanov},
     title = {Free {3-Generated} {Lattices} with {Standard} {Element} {Among} {Generators}},
     journal = {Algebra i logika},
     pages = {619--638},
     publisher = {mathdoc},
     volume = {57},
     number = {6},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2018_57_6_a0/}
}
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A. G. Gein; M. P. Shushpanov. Free 3-Generated Lattices with Standard Element Among Generators. Algebra i logika, Tome 57 (2018) no. 6, pp. 619-638. http://geodesic.mathdoc.fr/item/AL_2018_57_6_a0/