This article is cited in 1 paper

Mathematical logic, algebra and number theory

On infinity of the free $3$-generated lattice with one left modular generator

M. P. Shushpanov

Ural Federal University, 19, Mira str., 620002, Ekaterinburg, Russia

Abstract: We consider the free lattice generated by three elements one of which is left modular. We prove that the lattice is infinite.

Keywords: free lattice, left modular element, right modular element.

UDC: 512.56

MSC: 06B25

Received February 6, 2017, published May 30, 2017

DOI: 10.17377/semi.2017.14.043

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