scholarly journals Tilting Theory and Functor Categories I. Classical Tilting

2013 ◽  
Vol 22 (4) ◽  
pp. 595-646 ◽  
Author(s):  
R. Martínez-Villa ◽  
M. Ortiz-Morales
Keyword(s):  
Tilting Theory ◽  
Functor Categories ◽  
Classical Tilting

Basic results of classical tilting theory

2010 ◽  
pp. 9-14
Author(s):  
Lidia Angeleri Hügel ◽  
Dieter Happel ◽  
Henning Krause
Keyword(s):  
Tilting Theory ◽  
Classical Tilting

Tilting Theory and Functor Categories II. Generalized Tilting

2011 ◽  
Vol 21 (4) ◽  
pp. 311-348 ◽  
Author(s):  
Roberto Martínez-Villa ◽  
Martin Ortiz-Morales
Keyword(s):  
Tilting Theory ◽  
Functor Categories

scholarly journals The tilting theory of contraction algebras

2020 ◽  
Vol 374 ◽  
pp. 107372
Author(s):  
Jenny August
Keyword(s):  
Tilting Theory

scholarly journals Purity in functor categories

1968 ◽  
Vol 8 (3) ◽  
pp. 352-361 ◽  
Author(s):  
Bo Stenström
Keyword(s):  
Functor Categories

scholarly journals KOSZUL DUALITY FOR STRATIFIED ALGEBRAS II. STANDARDLY STRATIFIED ALGEBRAS

2010 ◽  
Vol 89 (1) ◽  
pp. 23-49 ◽  
Author(s):  
VOLODYMYR MAZORCHUK
Keyword(s):  
Complete Picture ◽  
Projective Modules ◽  
Koszul Duality ◽  
Tilting Theory

AbstractWe give a complete picture of the interaction between the Koszul and Ringel dualities for graded standardly stratified algebras (in the sense of Cline, Parshall and Scott) admitting linear tilting (co)resolutions of standard and proper costandard modules. We single out a certain class of graded standardly stratified algebras, imposing the condition that standard filtrations of projective modules are finite, and develop a tilting theory for such algebras. Under the assumption on existence of linear tilting (co)resolutions we show that algebras from this class are Koszul, that both the Ringel and Koszul duals belong to the same class, and that these two dualities on this class commute.

Sign in / Sign up

Export Citation Format

Share Document