24 citations · 26 across the 6 of their papers we have counts for
8 papers
Kaplansky decompositions of Polish modules
Ivo Herzog, Gianluca Paolini, Saharon Shelah
Let be a countable ring. Given an -module , we call a decomposition a Kaplansky decomposition if each is countable. We characterize th…
A countable universal torsion abelian group for purity
Ivo Herzog, Marcos Mazari-Armida
We show that there is a countable universal abelian p-group for purity, i.e., a countable abelian p-group such that every countable abelian p-group purely embeds in . This i…
Simples in a cotilting heart
Lidia Angeleri Hügel, Ivo Herzog, Rosanna Laking
Every cotilting module over a ring R induces a t-structure with a Grothendieck heart in the derived category D(Mod R). We determine the simple objects in this heart and their injec…
Lattice Theoretic Properties of Aprroximating Ideals
Xianhui Fu, Ivo Herzog, Jiangsheng Hu +1
It is proved that a finite intersection of special preenveloping ideals in an exact category is a special preenveloping ideal. Dually, a finite inter…
Neeman's characterization of K(R-Proj) via Bousfield localization
Xianhui Fu, Ivo Herzog
Let be an associative ring with unit and denote by $K({\rm R \mbox{-}Proj})$ the homotopy category of complexes of projective left -modules. Neeman proved the theorem that $…
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…