On non-homogeneous tubes and components of type \(\mathbb{Z}A_{\infty}\) in the bounded derived category

DOI10.1007/S10468-020-09949-XzbMath1482.16025OpenAlexW3030658253MaRDI QIDQ2040629

Alfredo González Chaio, Isabel Pratti, Claudia Chaio

Publication date: 14 July 2021

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-020-09949-x

zbMATH Keywords

complexescomponentsprojectivebounded derived categorytubes

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Homological dimension in associative algebras (16E10)

Related Items (5)

On the composition of three irreducible morphisms in the bounded homotopy category ⋮ The Auslander-Reiten quiver of the category of \(m\)-periodic complexes ⋮ Irreducible morphisms in the bounded derived category via the category of complexes of fixed size ⋮ Sections in the bounded derived category of piecewise hereditary algebras ⋮ Morphisms in the infinite radical of the bounded derived category

Cites Work

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• Irreducible morphisms in the bounded derived category.
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• Iterated tilted algebras of type \({\tilde {\mathbb A}}_ n\)
• The triangulated structure of the stable derived category
• Indecomposables in derived categories of gentle algebras
• Classification of discrete derived categories
• Almost split sequences for complexes of fixed size.
• Auslander-Reiten components for clans
• On the type of a category of complexes of fixed size and the strong global dimension
• On sectional paths in a category of complexes of fixed size

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