Tilting Modules and Tilting Torsion Pairs

2020 ◽  
pp. 317-339
Author(s):  
Francesco Mattiello ◽  
Sergio Pavon ◽  
Alberto Tonolo
Keyword(s):  
Tilting Modules ◽  
Torsion Pairs

scholarly journals Reduction of τ-Tilting Modules and Torsion Pairs

2014 ◽  
Vol 2015 (16) ◽  
pp. 7190-7237 ◽  
Author(s):  
Gustavo Jasso
Keyword(s):  
Tilting Modules ◽  
Torsion Pairs

scholarly journals Tilting modules and cellular categories

2020 ◽  
Vol 224 (9) ◽  
pp. 106366
Author(s):  
Henning Haahr Andersen
Keyword(s):  
Tilting Modules

On a simplical complex associated with tilting modules

1991 ◽  
Vol 66 (1) ◽  
pp. 70-78 ◽  
Author(s):  
Christine Riedtmann ◽  
Aidan Schofield
Keyword(s):  
Tilting Modules ◽  
Simplical Complex

scholarly journals The classification of τ-tilting modules over Nakayama algebras

2016 ◽  
Vol 452 ◽  
pp. 227-262 ◽  
Author(s):  
Takahide Adachi
Keyword(s):  
Tilting Modules ◽  
Nakayama Algebras

Torsion Theories and Tilting Modules

1984 ◽  
Vol 16 (5) ◽  
pp. 518-522 ◽  
Author(s):  
Sverre O. Smalø
Keyword(s):  
Tilting Modules ◽  
Torsion Theories

CLOSE NEIGHBORS IN THE QUIVER OF TILTING MODULES

2008 ◽  
Vol 07 (03) ◽  
pp. 379-392
Author(s):  
DIETER HAPPEL
Keyword(s):  
Representation Type ◽  
Tilting Module ◽  
Tilting Modules ◽  
Hereditary Algebra ◽  
Simple Modules ◽  
Finite Dimensional ◽  
Wild Representation Type ◽  
Local Properties

For a finite dimensional hereditary algebra Λ local properties of the quiver [Formula: see text] of tilting modules are investigated. The existence of special neighbors of a given tilting module is shown. If Λ has more than 3 simple modules it is shown as an application that Λ is of wild representation type if and only if [Formula: see text] is a subquiver of [Formula: see text].

Triangle presentations and tilting modules for SL$_{2k+1}$

2021 ◽  
Vol 5 (1) ◽  
pp. 59-92
Author(s):  
Corey Jones
Keyword(s):  
Tilting Modules

scholarly journals PROPERLY STRATIFIED ALGEBRAS AND TILTING

2005 ◽  
Vol 92 (1) ◽  
pp. 29-61 ◽  
Author(s):  
ANDERS FRISK ◽  
VOLODYMYR MAZORCHUK
Keyword(s):  
Projective Dimension ◽  
Finitistic Dimension ◽  
Tilting Module ◽  
Tilting Modules ◽  
Category Of Modules ◽  
Cotilting Modules ◽  
Contravariantly Finite ◽  
Properly Stratified Algebras ◽  
Stratified Algebra ◽  
Generalized Tilting Module

We study the properties of tilting modules in the context of properly stratified algebras. In particular, we answer the question of when the Ringel dual of a properly stratified algebra is properly stratified itself, and show that the class of properly stratified algebras for which the characteristic tilting and cotilting modules coincide is closed under taking the Ringel dual. Studying stratified algebras whose Ringel dual is properly stratified, we discover a new Ringel-type duality for such algebras, which we call the two-step duality. This duality arises from the existence of a new (generalized) tilting module for stratified algebras with properly stratified Ringel dual. We show that this new tilting module has a lot of interesting properties; for instance, its projective dimension equals the projectively defined finitistic dimension of the original algebra, it guarantees that the category of modules of finite projective dimension is contravariantly finite, and, finally, it allows one to compute the finitistic dimension of the original algebra in terms of the projective dimension of the characteristic tilting module.

Wakamatsu tilting modules over ring extension

2019 ◽  
Vol 18 (10) ◽  
pp. 1950198
Author(s):  
Zhen Zhang ◽  
Jiaqun Wei
Keyword(s):  
Ring Extension ◽  
Tilting Module ◽  
Tilting Modules ◽  
Wakamatsu Tilting Module ◽  
Extension Ring

For a ring [Formula: see text], an extension ring [Formula: see text], and a fixed right [Formula: see text]-module [Formula: see text], we prove the induced left [Formula: see text]-module [Formula: see text] is a Wakamatsu tilting module when [Formula: see text] is a Wakamatsu tilting module.

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