4 papers
A note on the -quiver
Xue-Song Lu
A two-parameter hierarchy of classes of finitely generated modules over an artin algebra is described by using the -quiver. As an application, it is shown that the stable cat…
A pre-triangulated category which is not triangulated
Xiao-Wu Chen, Jian Liu, Xue-Song Lu +1
In this article, we construct an explicit pre-triangulated category which is not a triangulated category. Its underlying additive category is the category of finitely generated pro…
Claus Michael Ringel's main contributions to Gorenstein-projective modules
Nan Gao, Xue-Song Lu, Pu Zhang
In this article we try to recall Claus Michael Ringel's works on the Gorenstein-projective modules. This will involve but not limited to his fundamental contributions, such as in,…
Homotopy categories and fibrant model structures
Xue-Song Lu, Pu Zhang
The homotopy category of a model structure on a weakly idempotent complete additive category is proved to be equivalent to the additive quotient of the category of cofibrant-fibran…