Finiteness and Infiniteness of 3-Generated Lattices with Distributive Elements Among Generators


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Abstract

We consider 3-generated lattices whose generators are distributive, dually distributive, right modular, dually right modular elements, or elements possessing a combination of these properties. For these lattices, we find all triples of generators that suffice for the generated lattice to be finite.

About the authors

M. P. Shushpanov

Ural Federal University

Author for correspondence.
Email: Mikhail.Shushpanov@gmail.com
Russian Federation, Ekaterinburg

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