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math.RT2026
Tilting Completion and Full-Rank Self-Orthogonal Modules
Wen Chang, Quanyu Tang
We give negative answers to two tilting-completion questions for finite-dimensional algebras. We construct two finite-dimensional basic connected quasi-hereditary -algeb…
math.RT2026
Infinitely Many Components in Auslander--Reiten Quivers of Representation-Infinite Algebras over Perfect Fields
Wen Chang, Quanyu Tang
Let be a perfect field and let be a representation-infinite finite-dimensional -algebra. We prove that the Auslander--Reiten quiver of has infinitely many connected…