24 citations · 24 across the 5 of their papers we have counts for
5 papers
Balanced pairs on triangulated categories
Xianhui Fu, Jiangsheng Hu, Dongdong Zhang +1
Let be a triangulated category. We first introduce the notion of balanced pairs in , and then establish the bijective correspondence between balanced pai…
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 $…
Totally acyclic complexes
Sergio Estrada, Xianhui Fu, Alina Iacob
For a given class of modules $\A$, we denote by $\widetilde{\A}$ the class of exact complexes having all cycles in $\A$, and by $dw(\A)$ the class of complexes with all com…
Powers of the Phantom Ideal
Xianhui Fu, Ivo Herzog
It is proved that if G is a finite group, then the order of G is a proper upper bound for the phantom number of G. More specifically, if k is a field whose characteristic divides t…