On 3-generated lattices with a completely modular element among generators

DOI10.1007/s00012-017-0463-yzbMath1420.06013OpenAlexW2766192453MaRDI QIDQ1686331

Mikhaĭl P. Shushpanov

Publication date: 21 December 2017

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00012-017-0463-y

zbMATH Keywords

defining relationfinite latticefree latticecompletely modular element

Mathematics Subject Classification ID

Structure theory of lattices (06B05) Modular lattices, Desarguesian lattices (06C05) Free lattices, projective lattices, word problems (06B25)

Related Items (2)

Sufficient conditions for the finiteness of the 3-generated lattice with modular and distributive type elements among generators ⋮ On the finiteness of a 3-generated lattice with left modular and separating elements among generators

Cites Work

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• 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
• Finitely generated lattices with completely modular elements among generators.
• Lattice Theory: Foundation
• On the Theorem of Jordan-Holder

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