Sufficient conditions for the modularity of the lattice generated by elements with properties of modular type
Alexander G. Gein, Mikhail P. Shushpanov · Siberian Mathematical Journal · 2015
We consider the 3-generated lattices whose generators enjoy some properties that are close to modularity in a sense, including left modularity, right modularity, and dual right modularity. We find all combinations of these properties that suffice for the modularity of the lattice.