Modularity and Distributivity of 3-Generated Lattices with Special Elements Among Generators


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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.

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A. Gein

El’tsin Ural Federal University

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Email: a.g.geyn@urfu.ru
俄罗斯联邦, ul. Mira 19, Yekaterinburg, 620002

M. Shushpanov

El’tsin Ural Federal University

Email: a.g.geyn@urfu.ru
俄罗斯联邦, ul. Mira 19, Yekaterinburg, 620002

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