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THICK SUBCATEGORIES OF THE DERIVED CATEGORY OF A HEREDITARY ALGEBRA.

Authors :
BrĂ¼ning, Kristian
Source :
Homology, Homotopy & Applications. 2007, Vol. 9 Issue 2, p165-176. 12p. 5 Diagrams, 1 Chart.
Publication Year :
2007

Abstract

We classify thick subcategories of the bounded derived category of a hereditary abelian category A in terms of subcategories of A. The proof can be applied to characterize the localizing subcategories of the full derived category of A. As an application we prove an algebraic analog of the telescope conjecture for the derived category of a representation finite hereditary artin algebra. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
15320073
Volume :
9
Issue :
2
Database :
Academic Search Index
Journal :
Homology, Homotopy & Applications
Publication Type :
Academic Journal
Accession number :
34391534