Finiteness of a 3-generated lattice with seminormal and coseminormal elements among generators

DOI10.1007/S10469-018-9496-3zbMath1485.06004OpenAlexW2893497312MaRDI QIDQ1757653

Mikhaĭl P. Shushpanov

Publication date: 15 January 2019

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-018-9496-3

zbMATH Keywords

defining relationleft-modular elementright-modular elementseminormal element

Mathematics Subject Classification ID

Structure theory of lattices (06B05) Modular lattices, Desarguesian lattices (06C05)

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
• Distributive, modular and separating elements in lattices
• Finitely generated lattices with completely modular elements among generators.
• Modularity and distributivity of 3-generated lattices with special elements among generators
• Standard ideals in lattices
• On the Theorem of Jordan-Holder

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