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Congruence lattices of free lattices in non-distributive varieties
We prove that for any free lattice F with at least $\aleph\_2$ generators in any non-distributive variety of lattices, there exists no sectionally complemented lattice L with congruence lattice isomorphic to the one of F. This solves a question formulated by Gr\"{a}tzer and Schmidt in 1962. Thi...
| Autores principales: | , , |
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| Lenguaje: | eng |
| Publicado: |
2005
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| Materias: | |
| Acceso en línea: | http://cds.cern.ch/record/853819 |