On the finiteness of a 3-generated lattice with left modular and separating elements among generators

DOI10.3103/S1066369X19050098zbMath1468.06010OpenAlexW2960043528MaRDI QIDQ2281439

Mikhaĭl P. Shushpanov

Publication date: 19 December 2019

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x19050098

zbMATH Keywords

latticedefining relationleft modular elementseparating element

Mathematics Subject Classification ID

Structure theory of lattices (06B05)

Cites Work

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• Lattices generated by modular elements.
• Free 3-generated lattices with two semi-normal generators
• Sufficient conditions for the modularity of the lattice generated by elements with properties of modular type.
• A characterization of neutral elements by the exclusion of sublattices
• On 3-generated lattices with a completely modular element among generators
• Finiteness of a 3-generated lattice with seminormal and coseminormal elements among generators

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