Ziegler Spectra of Serial Rings
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2017
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| _version_ | 1866929641417080832 |
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| author | Gregory, Lorna Puninski, Gena |
| author_facet | Gregory, Lorna Puninski, Gena |
| contents | In this paper we prove that the Ziegler spectra of all serial rings are sober. We then use this proof to give a general framework for computing and understanding Ziegler spectra of uniserial rings up to topological indistinguishability. Finally, we illustrate this technique by computing the Ziegler spectra of all rank one uniserial domains up to topological indistinguishability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1711_01673 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Ziegler Spectra of Serial Rings Gregory, Lorna Puninski, Gena Logic Rings and Algebras Representation Theory 03C60, 16D10, 54B35 In this paper we prove that the Ziegler spectra of all serial rings are sober. We then use this proof to give a general framework for computing and understanding Ziegler spectra of uniserial rings up to topological indistinguishability. Finally, we illustrate this technique by computing the Ziegler spectra of all rank one uniserial domains up to topological indistinguishability. |
| title | Ziegler Spectra of Serial Rings |
| topic | Logic Rings and Algebras Representation Theory 03C60, 16D10, 54B35 |
| url | https://arxiv.org/abs/1711.01673 |