5 papers
Deconstructible classes of modules and stability
Marcos Mazari-Armida, Jan Trlifaj
We show that every deconstructible class of modules with all embeddings, all pure embedding and all RD-embeddings is stable. The argument is presented in the context of abstract cl…
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…
Multiplicative bases and commutative semiartinian von Neumann regular algebras
KateÅina Fuková, Jan Trlifaj
Let be a semiartinian (von Neumann) regular ring with primitive factors artinian. The dimension sequence is an invariant that captures the various skew-fields a…
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…