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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2019 Volume 106, Issue 1, Pages 113–117 (Mi mzm11358)

Papers published in the English version of the journal

3-Generated Lattice with Left Modular and Separating Generators

M. P. Shushpanov

Ural Federal University, Yekaterinburg, 620002 Russia

Abstract: We consider a lattice generated by three elements, two of which are a left modular element and a separating element. It is proved that such a lattice is finite and contains at most 47 elements. It is shown that this estimate is accurate.

Keywords: lattice, left modular element, separating element.

Received: 29.08.2016
Revised: 06.02.2019

Language: English


 English version:
Mathematical Notes, 2019, 106:1, 113–117

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© Steklov Math. Inst. of RAS, 2024