48 citations · 137 across the 31 of their papers we have counts for
35 papers
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 special balanced pairs that fit into complete he…
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…
Multiplicative bases and commutative semiartinian von Neumann regular algebras
Kateřina 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…
Approximation properties of torsion classes
Sean Cox, Alejandro Poveda, Jan Trlifaj
We strengthen a result of Bagaria and Magidor~\cite{MR3152715} about the relationship between large cardinals and torsion classes of abelian groups, and prove that (1) the \emph{Ma…
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…