Artículo
Cignoli, R.; Gluschankof, D.; Lucas, F. "Prime spectra of lattice-ordered abelian groups" (1999) Journal of Pure and Applied Algebra. 136(3):217-229
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Abstract:
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.
Registro:
| Documento: | Artículo |
| Título: | Prime spectra of lattice-ordered abelian groups |
| Autor: | Cignoli, R.; Gluschankof, D.; Lucas, F. |
| Filiación: | Departamento de Matemáticas, Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina Equipe de Logique Mathematique, U.F.R. de Mathématiques, Université Paris 7, 2, pl. Jussieu, 75251 Paris Cedex 05, France Departement de Mathématiques, Université d' Angers, 2, Bd. Lavoisier, 49045 Angers Cedex, France |
| Año: | 1999 |
| Volumen: | 136 |
| Número: | 3 |
| Página de inicio: | 217 |
| Página de fin: | 229 |
| DOI: | http://dx.doi.org/10.1016/S0022-4049(98)00031-0 |
| Título revista: | Journal of Pure and Applied Algebra |
| Título revista abreviado: | J. Pure Appl. Algebra |
| ISSN: | 00224049 |
| CODEN: | JPAAA |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00224049_v136_n3_p217_Cignoli.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224049_v136_n3_p217_Cignoli |
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Citas:
---------- APA ----------
Cignoli, R., Gluschankof, D. & Lucas, F. (1999) . Prime spectra of lattice-ordered abelian groups. Journal of Pure and Applied Algebra, 136(3), 217-229.http://dx.doi.org/10.1016/S0022-4049(98)00031-0
---------- CHICAGO ----------
Cignoli, R., Gluschankof, D., Lucas, F. "Prime spectra of lattice-ordered abelian groups" . Journal of Pure and Applied Algebra 136, no. 3 (1999) : 217-229.http://dx.doi.org/10.1016/S0022-4049(98)00031-0
---------- MLA ----------
Cignoli, R., Gluschankof, D., Lucas, F. "Prime spectra of lattice-ordered abelian groups" . Journal of Pure and Applied Algebra, vol. 136, no. 3, 1999, pp. 217-229.http://dx.doi.org/10.1016/S0022-4049(98)00031-0
---------- VANCOUVER ----------
Cignoli, R., Gluschankof, D., Lucas, F. Prime spectra of lattice-ordered abelian groups. J. Pure Appl. Algebra. 1999;136(3):217-229.http://dx.doi.org/10.1016/S0022-4049(98)00031-0
