Garkusha, Grigory and Prest, Mike (2005) Triangulated categories and the Ziegler spectrum. Algebras and Representation Theory, 8 (4). pp. 499-523. ISSN 1386-923X
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Abstract
The relationship between the Ziegler spectrum of (the category of modules over) a ring and the Ziegler spectrum of its derived category is investigated. Over von Neumann regular rings and hereditary rings the spectrum of the derived category is a disjoint union of copies of the spectrum of the ring but in general there are further indecomposable pure-injective objects of the derived category.
| Item Type: | Article |
|---|---|
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 03 Mathematical logic and foundations MSC 2010, the AMS's Mathematics Subject Classification > 16 Associative rings and algebras MSC 2010, the AMS's Mathematics Subject Classification > 18 Category theory; homological algebra |
| Depositing User: | Professor Mike Prest |
| Date Deposited: | 23 May 2006 |
| Last Modified: | 20 Oct 2017 14:12 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/290 |
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