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Algebra and Logic

, Volume 57, Issue 6, pp 399–413 | Cite as

Free 3-Generated Lattices with Standard Element Among Generators

  • A. G. GeinEmail author
  • M. P. Shushpanov
Article
  • 5 Downloads

We consider 3-generated lattices among generators of which there are elements of distributive and modular types, and one of the generators is necessarily standard. For each triple of such generators, we answer the question whether a lattice generated by that triple is finite.

Keywords

lattice free lattice standard element distributive element left modular element right modular element 

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.El’tsin Ural Federal UniversityYekaterinburgRussia

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