Reflexivity in Derived Categories

dc.creatorMantese, Francesca
dc.creatorTonolo, Alberto
dc.date2007-05-17
dc.date2009-05-20
dc.date.accessioned2026-07-07T13:16:07Z
dc.date.available2026-07-07T13:16:07Z
dc.descriptionAn adjoint pair of contravariant functors between abelian categories can be extended to the adjoint pair of their derived functors in the associated derived categories. We describe the reflexive complexes and interpret the achieved results in terms of objects of the initial abelian categories. In particular we prove that, for functors of any finite cohomological dimension, the objects of the initial abelian categories which are reflexive as stalk complexes form the largest class where a Cotilting Theorem in the sense of Colby and Fuller works.
dc.identifierhttps://arxiv.org/abs/0705.2537
dc.identifierhttp://arxiv.org/abs/0705.2537
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230686
dc.subjectK-Theory and Homology
dc.subjectCategory Theory
dc.subject18E30;18G40; 18A40
dc.titleReflexivity in Derived Categories
dc.typetext

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