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

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

scholarly journals The tilting theory of contraction algebras

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

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.

n-T-COTORSION-FREE MODULES

2019 ◽  
Vol 62 (2) ◽  
pp. 297-311
Author(s):  
DAJUN LIU ◽  
JIAQUN WEI
Keyword(s):  
Tilting Modules ◽  
Tilting Theory ◽  
Free Modules

AbstractIn order to better unify the tilting theory and the Auslander–Reiten theory, Xi introduced a general transpose called the relative transpose. Originating from this, we introduce and study the cotranspose of modules with respect to a left A-module T called n-T-cotorsion-free modules. Also, we give many properties and characteristics of n-T-cotorsion-free modules under the help of semi-Wakamatsu-tilting modules AT.

scholarly journals τ-Tilting theory and ⁎-modules

2014 ◽  
Vol 414 ◽  
pp. 1-5 ◽  
Author(s):  
Jiaqun Wei
Keyword(s):  
Tilting Theory

scholarly journals On the relation between cluster and classical tilting

2010 ◽  
Vol 214 (9) ◽  
pp. 1523-1533 ◽  
Author(s):  
Thorsten Holm ◽  
Peter Jørgensen
Keyword(s):  
Classical Tilting

scholarly journals Simplicial complexes and tilting theory for Brauer tree algebras

2020 ◽  
Vol 551 ◽  
pp. 119-153
Author(s):  
Hideto Asashiba ◽  
Yuya Mizuno ◽  
Ken Nakashima
Keyword(s):  
Simplicial Complexes ◽  
Tilting Theory
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