6 citations · 11 across the 9 of their papers we have counts for
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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…
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…
Dualizations of approximations, -projectivity, and Vopěnka's Principles
Asmae Ben Yassine, Jan Trlifaj
The approximation classes of modules that arise as components of cotorsion pairs are tied up by Salce's duality. Here we consider general approximation classes of modules and inves…
Deconstructible abstract elementary classes of modules and categoricity
Jan Šaroch, 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…
Pure Projective Tilting Modules
Silvana Bazzoni, Ivo Herzog, Pavel Příhoda +2
Let be a -tilting module whose tilting torsion pair has the property that the heart of the induced -structure (in the deri…