Sections in the bounded derived category of piecewise hereditary algebras

DOI10.1142/S0219498824500749MaRDI QIDQ6183987

Alfredo González Chaio, Isabel Pratti, Claudia Chaio

Publication date: 24 January 2024

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

complexesprojectivebounded derived categorystrong global dimension

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

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• Irreducible morphisms in the bounded derived category.
• Cluster-tilted algebras and slices.
• A homological characterization of piecewise hereditary algebras.
• Generalized standard Auslander-Reiten components without oriented cycles
• Almost split sequences for complexes of fixed size.
• On non-homogeneous tubes and components of type \(\mathbb{Z}A_{\infty}\) in the bounded derived category
• Algebras and varieties
• Homological properties of piecewise hereditary algebras.
• 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
• On the representation dimension of tilted and laura algebras.
• Semi-Stable Components of an Auslander-Reiten Quiver

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