Abstract
We consider a lattice generated by three elements, one of which is completely modular. The free lattice with this property is proved to be finite. It is not modular and contains exactly 39 elements. We have also found a finite set of defining relations for the generating elements of this lattice.
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Presented by M. Ploscica.
Supported through the Competitiveness Project (Agreement between the Ministry of Education and Science of the Russian Federation and the Ural Federal University No. 02.A03.21.0006, 27.08.2013).
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Shushpanov, M.P. On 3-generated lattices with a completely modular element among generators. Algebra Univers. 78, 377–387 (2017). https://doi.org/10.1007/s00012-017-0463-y
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DOI: https://doi.org/10.1007/s00012-017-0463-y