This article is cited in 1 paper

Free 3-Generated Lattices with Standard Element Among Generators

A. G. Gein, M. P. Shushpanov

Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg

Abstract: 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.

UDC: 512.565

Received: 21.05.2017

DOI: 10.33048/alglog.2018.57.601

 English version: Algebra and Logic, 2019, 57:6, 399–413

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