Free 3-Generated Lattices with Two Semi-Normal Generators |
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| Authors: | A G Gein M P Shushpanov |
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| Institution: | 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, two of which are semi-normal. We have proved it is infinite and have also found an additional condition for the lattice to be modular. As a result, it is proved that the sublattice generated in the subgroup lattice by two normal subgroups and any subgroup is modular. |
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