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Algebras and Representation Theory

, Volume 8, Issue 4, pp 499–523 | Cite as

Triangulated Categories and the Ziegler Spectrum

  • Grigory GarkushaEmail author
  • Mike Prest
Article

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.

Keywords

triangulated category Ziegler spectrum model theory 
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Copyright information

© Springer 2005

Authors and Affiliations

  1. 1.The Euler International Mathematics InstituteSt. PetersburgRussia
  2. 2.Department of MathematicsUniversity of ManchesterManchesterEngland

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