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math.RT2025
On the -tilting finiteness and silting-discreteness of graded (skew-) gentle algebras
Wen Chang, Haibo Jin, Sibylle Schroll +1
This paper investigates finiteness conditions for gentle and skew-gentle algebras. First, we prove that a skew-gentle algebra is -tilting finite if and only if it is representat…
math.RT2025
Maximal rigid modules over a gentle algebra and applications to higher Auslander-Reiten theory
Wen Chang
We construct a bijective correspondence between the set of rigid modules over a gentle algebra and the set of admissible arc systems on the associated coordinated-marked surface. I…
math.RT2024
Tilting-completion for gentle algebras
Wen Chang
It is demonstrated that any almost-tilting module over a gentle algebra is indeed partial-tilting, meaning it can be completed as a tilting module. Furthermore, such a module has a…