36 citations · 226 across the 66 of their papers we have counts for
4 papers · 1 filter
Singular equivalences of trivial extensions
Xiao-Wu Chen
We prove that a certain pair of bimodules over two artin algebras gives rise to a triangle equivalence between the singularity categories of the two corresponding trivial extension…
Irreducible representations of Leavitt path algebras
Xiao-Wu Chen
We construct some irreducible representations of the Leavitt path algebra of an arbitrary quiver. The constructed representations are associated to certain algebraic branching syst…
Singular equivalences induced by homological epimorphisms
Xiao-Wu Chen
We prove that a certain homological epimorphism between two algebras induces a triangle equivalence between their singularity categories. Applying the result to a construction of m…
The singularity category of an algebra with radical square zero
Xiao-Wu Chen
To an artin algebra with radical square zero, a regular algebra in the sense of von Neumann and a family of invertible bimodules over the regular algebra are associated. These data…