Hereditary abelian categories with tilting object over arbitrary base fields
From MaRDI portal
Publication:1858226
DOI10.1016/S0021-8693(02)00088-1zbMath1015.18007MaRDI QIDQ1858226
Publication date: 12 February 2003
Published in: Journal of Algebra (Search for Journal in Brave)
Representations of associative Artinian rings (16G10) Abelian categories, Grothendieck categories (18E10)
Related Items
Invariance of selfinjective algebras of quasitilted type under stable equivalences. ⋮ A reduction approach to silting objects for derived categories of hereditary categories ⋮ The structure and homological properties of generalized standard Auslander-Reiten components ⋮ On the composition factors of indecomposable modules in almost cyclic coherent Auslander-Reiten components. ⋮ Tilted algebras and short chains of modules. ⋮ Right ADA algebras ⋮ On the braid group action on exceptional sequences for weighted projective lines ⋮ \(t\)-structures via recollements for piecewise hereditary algebras. ⋮ Jordan-Hölder theorems for derived module categories of piecewise hereditary algebras. ⋮ On selfinjective Artin algebras having generalized standard quasitubes. ⋮ Stratifying derived module categories ⋮ On the indecomposable modules in almost cyclic coherent Auslander-Reiten components. ⋮ Topological invariants of piecewise hereditary algebras ⋮ Tilting bundles for weighted projective lines of weight type $(p,q)$ ⋮ $(m,n)$-Quasitilted and $(m,n)$-almost hereditary algebras ⋮ A homological characterization of piecewise hereditary algebras. ⋮ Finite cycles of indecomposable modules. ⋮ Derived Brauer–Thrall Type Theorem I for Artin Algebras ⋮ Exceptional sequences and Drinfeld double Hall algebras ⋮ Non-crossing partitions ⋮ Cycle-finite modules over artin algebras ⋮ Algebras with separating almost cyclic coherent Auslander-Reiten components. ⋮ Tilting up algebras of small homological dimensions ⋮ On Artin algebras with almost all indecomposable modules of projective or injective dimension at most one. ⋮ Piecewise hereditary algebras under field extensions
Cites Work
- Tame algebras and integral quadratic forms
- Wild hereditary Artin algebras and linear methods
- Hereditary categories with tilting object
- A characterization of the hereditary categories derived equivalent to some category of coherent sheaves on a weighted projective line
- Tilted Algebras
- Indecomposable representations of graphs and algebras
- Hereditary noetherian categories with a tilting complex
- Tilting in abelian categories and quasitilted algebras
- A characterization of hereditary categories with tilting object
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item