Tilting theory and functor categories. I: Classical tilting.
From MaRDI portal
Publication:742927
DOI10.1007/s10485-013-9322-yzbMath1346.16002arXiv1110.4785OpenAlexW2052568271MaRDI QIDQ742927
Martín Ortiz-Morales, Roberto Martínez-Villa
Publication date: 19 September 2014
Published in: Applied Categorical Structures (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.4785
finite dimensional algebrasderived equivalencestilting complexesmodule categoriesfunctor categoriesclassical tilting
Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of associative Artinian rings (16G10) Abelian categories, Grothendieck categories (18E10) Functor categories, comma categories (18A25)
Related Items
Generalized tilting theory in functor categories, The Auslander-Reiten components seen as quasi-hereditary categories, Tilting objects in triangulated categories, A GENERALIZATION OF THE THEORY OF STANDARDLY STRATIFIED ALGEBRAS I: STANDARDLY STRATIFIED RINGOIDS
Cites Work
- Artin-Schelter regular algebras and categories.
- Radical layers of representable functors
- Tame algebras and integral quadratic forms
- Noetherianity and Gelfand-Kirillov dimension of components.
- Derived categories and Morita theory
- Regularity of modules over a Koszul algebra
- Stable equivalence of dualizing R-varieties
- Rings with several objects
- Noetherian hereditary abelian categories satisfying Serre duality
- Morita Theory for Derived Categories
- Coxeter Functors Without Diagrams
- Almost Split Sequences whose Middle Term has at most Two Indecomposable Summands
- Tilted Algebras
- COXETER FUNCTORS AND GABRIEL'S THEOREM
- Representation Theory of Artin Algebras I
- Auslander–Reiten sequences, locally free sheaves and Chebysheff polynomials
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item