On the uniqueness of stratifications of derived module categories.

DOI10.1016/j.jalgebra.2012.02.022zbMath1295.16002arXiv1006.5301OpenAlexW2963968601MaRDI QIDQ1758263

Qunhua Liu, Lidia Angeleri Hügel, Steffen Koenig

Publication date: 8 November 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.5301

zbMATH Keywords

derived categoriestriangulated categoriesstratificationsJordan-Hölder theoremrecollementshereditary Artin algebrasderived simpleness

Mathematics Subject Classification ID

Representations of associative Artinian rings (16G10) Derived categories and associative algebras (16E35)

Related Items (17)

Jordan-Hölder theorems for derived categories of derived discrete algebras ⋮ On compact exceptional objects in derived module categories ⋮ Recollements and tilting objects ⋮ Recollements of self-injective algebras, and classification of self-injective diagram algebras ⋮ Homological theory of recollements of abelian categories ⋮ Triangular matrix categories. II: Recollements and functorially finite subcategories ⋮ Examples of finite dimensional algebras which do not satisfy the derived Jordan-Hölder property ⋮ Lifting recollements of abelian categories and model structures ⋮ Gorenstein projective modules and recollements over triangular matrix rings ⋮ Stratifying derived module categories ⋮ Realisation functors in tilting theory ⋮ Universal localisations and tilting modules for finite dimensional algebras. ⋮ Recollements of module categories ⋮ Gorenstein categories, singular equivalences and finite generation of cohomology rings in recollements ⋮ A representation-theoretic approach to recollements of abelian categories ⋮ Gluing Silting Objects ⋮ Recollements of extriangulated categories

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