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Siberian Mathematical Journal

, Volume 60, Issue 4, pp 734–740 | Cite as

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

  • M. P. ShushpanovEmail author
Article
  • 7 Downloads

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.

Keywords

distributive element right modular element finite lattice infinite lattice 

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Copyright information

© Pleiades Publishing, Inc. 2019

Authors and Affiliations

  1. 1.Ural Federal UniversityEkaterinburgRussia

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