48 citations · 137 across the 31 of their papers we have counts for
5 papers · 1 filter
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…
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…
Categoricity for transfinite extensions of modules
Jan Trlifaj
For each deconstructible class of modules , we prove that the categoricity of in a big cardinal is equivalent to its categoricity in a tail of cardinals. W…
On the cogeneration of cotorsion pairs
Paul C. Eklof, Saharon Shelah, Jan Trlifaj
Let R be a Dedekind domain. Enochs' solution of the Flat Cover Conjecture was extended as follows: (*) If C is a cotorsion pair generated by a class of cotorsion modules, then C is…
Spectra of the Gamma-invariant of uniform modules
Saharon Shelah, Jan Trlifaj
For a ring R, denote by Spec^R_kappa(Gamma) the kappa-spectrum of the Gamma-invariant of strongly uniform right R-modules. Recent realization techniques of Goodearl and Wehrung sho…