Brauer-Thrall type theorems for derived module categories

DOI10.1007/s10468-016-9622-7zbMath1369.16008arXiv1310.2777OpenAlexW2410974619MaRDI QIDQ513730

Yang Han, Chao Zhang

Publication date: 7 March 2017

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

Full work available at URL: https://arxiv.org/abs/1310.2777

zbMATH Keywords

derived categoryindecomposable objectderived discrete algebraderived finite algebrapiecewise hereditary algebra

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Representations of quivers and partially ordered sets (16G20) Syzygies, resolutions, complexes in associative algebras (16E05) Homological dimension in associative algebras (16E10) Derived categories and associative algebras (16E35)

Related Items

Jordan-Hölder theorems for derived categories of derived discrete algebras ⋮ Derived representation type and field extensions ⋮ The Ziegler spectrum for derived-discrete algebras ⋮ Indecomposables with smaller cohomological length in the derived category of gentle algebras ⋮ On algebras of strongly derived unbounded type. ⋮ Discrete triangulated categories ⋮ On the representation type of subcategories of derived categories ⋮ The equivalence of two notions of discreteness of triangulated categories ⋮ Discrete derived categories. I: Homomorphisms, autoequivalences and t-structures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the derived category of a finite-dimensional algebra
• On the indecomposable representations of algebras
• A homological characterization of piecewise hereditary algebras.
• The universal cover of a quiver with relations
• Representation-finite algebras and multiplicative bases
• On algebras of strongly unbounded representation type
• Covering spaces in representation-theory
• Indecomposables in derived categories of gentle algebras
• Classification of discrete derived categories
• Piecewise hereditary algebras
• Indecomposables live in all smaller lengths
• The standard form of a representation-finite algebra
• Separating Splitting Tilting Modules and Hereditary Algebras
• Generalized tilted algebras of type a_n
• Tilted Algebras
• Tilting simply connected algebras
• ON THE NOTION OF DERIVED TAMENESS
• Derived Equivalences As Derived Functors
• Representation Theory of Artin Algebras II
• UNBOUNDED DIMENSIONALITY OF INDECOMPOSABLE REPRESENTATIONS OF AN ALGEBRA WITH AN INFINITE NUMBER OF INDECOMPOSABLE REPRESENTATIONS
• A characterization of hereditary categories with tilting object
• The algebras with discrete derived category.