36 citations · 226 across the 66 of their papers we have counts for
69 papers
Frobenius quotients, inflation categories and weighted projective lines
Xiao-Wu Chen, Qiang Dong, Shiquan Ruan
We propose the notion of Frobenius quotients between Frobenius exact categories. It turns out that any Frobenius quotient induces Frobenius quotients between the corresponding infl…
Module factorizations
Xiao-Wu Chen
For a regular normal element in an arbitrary ring, we study the category of its module factorizations. The cokernel functor relates module factorizations with Gorenstein projective…
A non-vanishing result on the singularity category
Xiao-Wu Chen, Zhi-Wei Li, Xiaojin Zhang +1
We prove that a virtually periodic object in an abelian category gives rise to a non-vanishing result on certain Hom groups in the singularity category. Consequently, for any artin…
Homological dimensions of the Jacobson radical
Xiao-Wu Chen, Srikanth B. Iyengar, René Marczinzik
This work presents results on the finiteness, and on the symmetry properties, of various homological dimensions associated to the Jacobson radical and its higher syzygies, of a sem…
An introduction to model categories with examples
Xiao-Wu Chen
We give an informal introduction to model categories, and treat three important examples in some details: the category of small categories, the category of dg algebras, and the cat…
The extensions of t-structures
Xiao-Wu Chen, Zengqiang Lin, Yu Zhou
We reformulate a result of Bernhard Keller on extensions of -structures and give a detailed proof. In the study of hereditary -structures, the notions of regular -structur…