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Functorial liftings of distributive semilattices by distances of small type

We prove that every distributive algebraic lattice with at most $\aleph\_1$ compact elements is isomorphic to the normal subgroup lattice of some group and to the submodule lattice of some right module. The $\aleph\_1$ bound is optimal, as we find a distributive algebraic lattice $D$ with $\aleph\_2...

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Detalles Bibliográficos
Autores principales: Ruzicka, P, Tuma, J, Wehrung, F
Lenguaje:eng
Publicado: 2005
Materias:
Acceso en línea:http://cds.cern.ch/record/854038