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Endomorphismes de complexes determines par leurs homologies

Abstract : From Rickard's work, we know that two rings are derived equivalent if there is a tilting complex, constructed from projective modules over the first ring such that the second ring is the endomorphism ring of this tilting complex.
In this thesis I describe, under some conditions, the endomorphism ring of n-term complexes via the endomorphism ring of some more elementary structures, the homologies of the complexes.
The case of 2-term tilting complexes over Gorenstein order with torsion free homologies has been done by S.Konig and A.Zimmermann.
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https://tel.archives-ouvertes.fr/tel-00006933
Contributor : Intan Muchtadi-Alamsyah <>
Submitted on : Tuesday, September 21, 2004 - 3:17:38 PM
Last modification on : Monday, April 19, 2021 - 8:50:52 AM
Long-term archiving on: : Friday, April 2, 2010 - 8:33:20 PM

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Intan Muchtadi-Alamsyah. Endomorphismes de complexes determines par leurs homologies. Mathématiques [math]. Université de Picardie Jules Verne, 2004. Français. ⟨tel-00006933⟩

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