Tilting modules over path algebras of Dynkin type and complete slice modules

2005 ◽  
Vol 48 (1) ◽  
pp. 97 ◽  
Author(s):  
Minxiong WANG
Keyword(s):  
Tilting Modules ◽  
Path Algebras ◽  
Dynkin Type

DISTRIBUTIVE LATTICES OF TILTING MODULES AND SUPPORT τ-TILTING MODULES OVER PATH ALGEBRAS

2016 ◽  
Vol 59 (2) ◽  
pp. 503-511
Author(s):  
YICHAO YANG
Keyword(s):  
Distributive Lattice ◽  
Distributive Lattices ◽  
Tilting Modules ◽  
Path Algebras ◽  
Non Linear ◽  
Dynkin Quiver

AbstractIn this paper, we study the poset of basic tilting kQ-modules when Q is a Dynkin quiver, and the poset of basic support τ-tilting kQ-modules when Q is a connected acyclic quiver respectively. It is shown that the first poset is a distributive lattice if and only if Q is of types $\mathbb{A}_{1}$, $\mathbb{A}_{2}$ or $\mathbb{A}_{3}$ with a non-linear orientation and the second poset is a distributive lattice if and only if Q is of type $\mathbb{A}_{1}$.

Eventually Polynomial Betti Sequences over Truncated Path Algebras

2019 ◽  
Vol 23 (4) ◽  
pp. 1601-1608
Author(s):  
Marju Purin ◽  
Sean Thompson
Keyword(s):  
Path Algebras

McCoy rings of path algebras and truncated algebras

2021 ◽  
pp. 1-9
Author(s):  
Zhi Cheng ◽  
Jingjing Wu ◽  
Yuye Zhou
Keyword(s):  
Path Algebras

scholarly journals Tilting modules and cellular categories

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