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math.RT2026
Tilting modules for the Cummings construction
Jan Trlifaj, Mykyta Dubov
Finiteness of the right little finitistic dimension of a finite dimensional algebra $\La$ is known to be equivalent to existence of a (possibly infinite dimensional) tilting right…
math.RT2026
Balanced pairs, virtually Gorenstein rings, and cotorsion torsion triples
Sergio Estrada, Jiangsheng Hu, Jan Trlifaj
For any ring , we investigate balanced pairs of classes of modules and their relations to cotorsion triples. We characterize the case when a balanced pair generates a tilting co…
math.RT2024
Deconstructible abstract elementary classes of modules and categoricity
Jan Å aroch, Jan Trlifaj
We prove a version of Shelah's Categoricity Conjecture for arbitrary deconstructible classes of modules. Moreover, we show that if is a deconstructible class of modul…