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. 
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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/

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