Piecewise hereditary algebras

DOI10.1007/BF01195702zbMath0865.16009OpenAlexW2884561423MaRDI QIDQ1924896

Dieter Happel, Idun Reiten, Sverre O. Smalø

Publication date: 7 July 1997

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01195702

zbMATH Keywords

triangulated categoriescotilting modulesAbelian categoriesArtin algebraspiecewise hereditary algebrasquasi-tilted algebrasrepresentations of sheavesweighted projective curves

Mathematics Subject Classification ID

Related Items (22)

FINITISTIC DIMENSIONS AND PIECEWISE HEREDITARY PROPERTY OF SKEW GROUP ALGEBRAS ⋮ Some examples of \(t\)-structures for finite-dimensional algebras ⋮ Piecewise hereditary Nakayama algebras. ⋮ \(t\)-structures via recollements for piecewise hereditary algebras. ⋮ Representation dimension and tilting. ⋮ Tubular cluster algebras. I: Categorification ⋮ Singularity categories of representations of algebras over local rings ⋮ Finiteness of the strong global dimension of radical square zero algebras. ⋮ Bounds on the global dimension of certain piecewise hereditary categories ⋮ Hereditary triangulated categories ⋮ Topological invariants of piecewise hereditary algebras ⋮ SHOD STRING ALGEBRAS ⋮ Piecewise hereditary one-point extensions ⋮ $(m,n)$-Quasitilted and $(m,n)$-almost hereditary algebras ⋮ A homological characterization of piecewise hereditary algebras. ⋮ Generalized tilting theory ⋮ Brauer-Thrall type theorems for derived module categories ⋮ Skew group algebras of piecewise hereditary algebras are piecewise hereditary. ⋮ Derived Brauer–Thrall Type Theorem I for Artin Algebras ⋮ Homological properties of piecewise hereditary algebras. ⋮ Piecewise hereditary incidence algebras ⋮ Stratifications of Finite Directed Categories and Generalized APR Tilting Modules

Cites Work

• Unnamed Item
• Modules determined by their composition factors
• Perpendicular categories with applications to representations and sheaves
• Algebras with cycle-finite derived categories
• Piecewise Hereditary Algebras
• Tilted Algebras
• Hereditary noetherian categories with a tilting complex

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