A characterization of neutral elements by the exclusion of sublattices

DOI10.1016/j.disc.2008.02.009zbMath1169.06003OpenAlexW2022207637MaRDI QIDQ1024486

S. Parameshwara Bhatta

Publication date: 17 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.disc.2008.02.009

zbMATH Keywords

neutral elementsdistributive elementsstandard elements

Mathematics Subject Classification ID

Structure theory of lattices (06B05)

Related Items (11)

Finitely generated lattices with \(M\)-standard elements among generators. ⋮ Modularity and distributivity of 3-generated lattices with special elements among generators ⋮ On infinity of the free 3-generated lattice with one left modular generator ⋮ On 3-generated lattices with a completely modular element among generators ⋮ On the problem of characterizing standard elements by the exclusion of sublattices ⋮ Finiteness of a 3-generated lattice with seminormal and coseminormal elements among generators ⋮ Free 3-generated lattices with standard element among generators ⋮ Free 3-generated lattices with two semi-normal generators ⋮ On the finiteness of a 3-generated lattice with left modular and separating elements among generators ⋮ 3-generated lattice with left modular and separating generators ⋮ Sufficient conditions for the modularity of the lattice generated by elements with properties of modular type.

Cites Work

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• Equivalence of M-Symmetry and Semimodularity in Lattices
• Standard ideals in lattices
• Neutral elements in general lattices

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