Irreducible morphisms in the bounded derived category via the category of complexes of fixed size

DOI10.1016/J.JALGEBRA.2023.06.008zbMath1528.16016OpenAlexW4380894113MaRDI QIDQ6169177

Claudia Chaio, Isabel Pratti, Alfredo González Chaio

Publication date: 11 July 2023

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2023.06.008

zbMATH Keywords

complexesirreducible morphismsbounded derived categorymapping cone

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)

Cites Work

• Unnamed Item
• Irreducible morphisms in the bounded derived category.
• A homological characterization of piecewise hereditary algebras.
• On derived tame algebras.
• Iterated tilted algebras of type \({\tilde {\mathbb A}}_ n\)
• Indecomposables in derived categories of gentle algebras
• Almost split sequences for complexes of fixed size.
• Morphisms in the infinite radical of the bounded derived category
• On non-homogeneous tubes and components of type \(\mathbb{Z}A_{\infty}\) in the bounded derived category
• On sectional paths in a category of complexes of fixed size
• Irreducible morphisms of categories of complexes.
• On the composition of three irreducible morphisms in the bounded homotopy category

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