On 3-generated lattices with a completely modular element among generators |
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| Authors: | Mikhail P. Shushpanov |
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| Affiliation: | 1.Chair of Algebra and Theoretical Computer Science,Ural Federal University,Ekaterinburg,Russia |
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| 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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