On the vanishing of cohomology in triangulated categories

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منابع مشابه

On the Vanishing of Cohomology in Triangulated Categories

We study the vanishing of cohomology in a triangulated category, in particular vanishing gaps and symmetry.

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Objects in Triangulated Categories

We introduce the Calabi-Yau (CY) objects in a Hom-finite Krull-Schmidt triangulated k-category, and notice that the structure of the minimal, consequently all the CY objects, can be described. The relation between indecomposable CY objects and Auslander-Reiten triangles is provided. Finally we classify all the CY modules of selfinjective Nakayama algebras, determining this way the self-injectiv...

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ژورنال

عنوان ژورنال: Homology, Homotopy and Applications

سال: 2011

ISSN: 1532-0073,1532-0081

DOI: 10.4310/hha.2011.v13.n2.a2