The Ziegler and Zariski spectra of some domestic string algebras
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The Ziegler and Zariski spectra of some domestic string algebras
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| Id. |
46271871 |
| Idioma |
inglés
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| Titulo |
The Ziegler and Zariski spectra of some domestic string algebras |
| Autor(es) |
Kevin Burke
Mike Prest
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| Localización |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.23.2194
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| Versión |
1.0 |
| Estado |
Final
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| Descripción |
It was a conjecture of the second author that the Cantor-Bendixson rank of the Ziegler spectrum of a nite-dimensional algebra is either less than or equal to 2 or is undened. Here we refute this conjecture by describing the Ziegler spectra of some domestic string algebras where arbitrary nite values greater than 2 are obtained. We give a complete description of the Ziegler and Gabriel-Zariski spectra of the simplest of these algebras. The conjecture has been independently refuted by Schroer [21] who, extending his work [20] on these algebras, computed their Krull-Gabriel dimension. 1 Indecomposable pure-injectives over domestic string algebras 12 Let R be a domestic string algebra over an arbitrary eld k. Modules will generally be left R-modules: the category of these we denote by R-Mod. 1 This work was done while the rst author was supported by EPSRC grant number GR/K19686. Both authors thank the EPSRC for this nancial support. 2 Primary: 16G20; Secondary: 03C60,...
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| Tipo |
application/postscript
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| Palabras clave |
algebra
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| Tipo de recurso |
Texto Narrativo
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| Tipo de Interactividad |
Expositivo
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| Nivel de Interactividad |
muy bajo
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| Audiencia |
Estudiante
Profesor
Autor
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| Estructura |
Atomic |
| Coste |
no
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| Copyright |
sí
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Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| Formatos |
application/postscript
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| Requerimientos técnicos |
Browser: Any
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| Relación |
[IsBasedOn] http://www.maths.man.ac.uk/~mprest/lambdan.ps
[References] 10.1.1.97.7683
[References] 10.1.1.57.1763
[References] 10.1.1.97.7683
[References] 10.1.1.22.4417
[References] 10.1.1.101.1176
[References] 10.1.1.102.6352
[References] 10.1.1.24.3726
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| Fecha de contribución |
23-jul-2009 |
| Contacto |
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