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Semilattices of finitely generated ideals of exchange rings with finite stable rank
We find a distributive (v, 0, 1)-semilattice S of size $ aleph\_1$ that is not isomorphic to the maximal semilattice quotient of any Riesz monoid endowed with an order-unit of finite stable rank. We thus obtain solutions to various open problems in ring theory and in lattice theory. In particular: -...
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| Lenguaje: | eng |
| Publicado: |
2005
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| Acceso en línea: | http://cds.cern.ch/record/853791 |