2006.122: Triangulated categories and the Ziegler spectrum
2006.122: Grigory Garkusha and Mike Prest (2005) Triangulated categories and the Ziegler spectrum. Algebras and Representation Theory, 8 (4). pp. 499-523. ISSN 1386-923X
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DOI: 10.1007/s10468-005-8147-2
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 2000 > 03 Mathematical logic and foundations MSC 2000 > 16 Associative rings and algebras MSC 2000 > 18 Category theory; homological algebra |
| MIMS number: | 2006.122 |
| Deposited By: | Professor Mike Prest |
| Deposited On: | 23 May 2006 |
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