Geodesic
Modularity and distributivity of $3$-generated lattices with special elements among generators
Algebra i logika, Tome 56 (2017) no. 1, pp. 3-19

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We consider $3$-generated lattices whose generating elements possess properties that are, in a sense, close to modularity or distributivity. Those combinations of these properties are specified that are sufficient for a lattice to be modular, and even distributive.
Keywords: modular lattice, distributive lattice, left modular element, right modular element, distributive element, standard element. 
@article{AL_2017_56_1_a0,
     author = {A. G. Gein and M. P. Shushpanov},
     title = {Modularity and distributivity of $3$-generated lattices with special elements among generators},
     journal = {Algebra i logika},
     pages = {3--19},
     publisher = {mathdoc},
     volume = {56},
     number = {1},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2017_56_1_a0/}
}
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A. G. Gein; M. P. Shushpanov. Modularity and distributivity of $3$-generated lattices with special elements among generators. Algebra i logika, Tome 56 (2017) no. 1, pp. 3-19. http://geodesic.mathdoc.fr/item/AL_2017_56_1_a0/