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 |
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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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