Prime spectra of lattice-ordered abelian groups
We prove that for each ℓ-group G, the topological space Spec(G) satisfies a condition Idω. Generalising a previous construction of Delzell and Madden we show that for each nondenumerable cardinal there is a completely normal spectral space that is not homeomorphic to Spec(G) for any ℓ-group G. We sh...
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| Formato: | Artículo publishedVersion |
| Lenguaje: | Inglés |
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1999
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00224049_v136_n3_p217_Cignoli |
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paperaa:paper_00224049_v136_n3_p217_Cignoli2023-06-12T16:44:47Z Prime spectra of lattice-ordered abelian groups J. Pure Appl. Algebra 1999;136(3):217-229 Cignoli, R. Gluschankof, D. Lucas, F. We prove that for each ℓ-group G, the topological space Spec(G) satisfies a condition Idω. Generalising a previous construction of Delzell and Madden we show that for each nondenumerable cardinal there is a completely normal spectral space that is not homeomorphic to Spec(G) for any ℓ-group G. We show also that a stronger form of property Idω, called Id, suffices to ensure that a completely normal spectral space is homeomorphic to Spec(G) for some ℓ-group G. © 1999 Elsevier Science B.V. All rights reserved. Fil:Gluschankof, D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1999 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00224049_v136_n3_p217_Cignoli |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| language |
Inglés |
| orig_language_str_mv |
eng |
| description |
We prove that for each ℓ-group G, the topological space Spec(G) satisfies a condition Idω. Generalising a previous construction of Delzell and Madden we show that for each nondenumerable cardinal there is a completely normal spectral space that is not homeomorphic to Spec(G) for any ℓ-group G. We show also that a stronger form of property Idω, called Id, suffices to ensure that a completely normal spectral space is homeomorphic to Spec(G) for some ℓ-group G. © 1999 Elsevier Science B.V. All rights reserved. |
| format |
Artículo Artículo publishedVersion |
| author |
Cignoli, R. Gluschankof, D. Lucas, F. |
| spellingShingle |
Cignoli, R. Gluschankof, D. Lucas, F. Prime spectra of lattice-ordered abelian groups |
| author_facet |
Cignoli, R. Gluschankof, D. Lucas, F. |
| author_sort |
Cignoli, R. |
| title |
Prime spectra of lattice-ordered abelian groups |
| title_short |
Prime spectra of lattice-ordered abelian groups |
| title_full |
Prime spectra of lattice-ordered abelian groups |
| title_fullStr |
Prime spectra of lattice-ordered abelian groups |
| title_full_unstemmed |
Prime spectra of lattice-ordered abelian groups |
| title_sort |
prime spectra of lattice-ordered abelian groups |
| publishDate |
1999 |
| url |
http://hdl.handle.net/20.500.12110/paper_00224049_v136_n3_p217_Cignoli |
| work_keys_str_mv |
AT cignolir primespectraoflatticeorderedabeliangroups AT gluschankofd primespectraoflatticeorderedabeliangroups AT lucasf primespectraoflatticeorderedabeliangroups |
| _version_ |
1769810020471406592 |