36 citations · 226 across the 66 of their papers we have counts for
5 papers · 1 filter
Gorenstein Homological Algebra of Artin Algebras
Xiao-Wu Chen
Gorenstein homological algebra is a kind of relative homological algebra which has been developed to a high level since more than four decades. In this report we review the basic t…
Gorenstein homological properties of tensor rings
Xiao-Wu Chen, Ming Lu
Let be a two-sided noetherian ring and be a nilpotent -bimodule, which is finitely generated on both sides. We study Gorenstein homological properties of the tensor ring…
An explicit projective bimodule resolution of a Leavitt path algebra
Xiao-Wu Chen, Huanhuan Li, Zhengfang Wang
We construct an explicit projective bimodule resolution for the Leavitt path algebra of a row-finite quiver. We prove that the Leavitt path algebra of a row-countable quiver has Ho…
The dual actions, equivariant autoequivalences and stable tilting objects
Jianmin Chen, Xiao-Wu Chen, Shiquan Ruan
For a finite abelian group action on a linear category, we study the dual action given by the character group acting on the category of equivariant objects. We prove that the group…
The derived-discrete algebras and standard equivalences
Xiao-Wu Chen, Chao Zhang
We prove that any derived equivalence between derived-discrete algebras of finite global dimension is standard, that is, isomorphic to the derived tensor functor by a two-sided til…