6 papers
Homotopic morphisms and diagram theorems in extriangulated categories
Chencheng Zhang, Xue-Song Lu, Pu Zhang
Homotopic morphisms of -triangles in extriangulated categories are introduced. Any morphism of -triangles is a composition of homotopic morphisms. Any morphis…
Model structure arising from one hereditary complete cotorsion pair on extriangulated categories
Jiangsheng Hu, Dongdong Zhang, Pu Zhang +1
Hovey's correspondence between model structures and cotorsion pairs in the setting of abelian categories, has been generalized by Nakaoka-Palu, using two cotorsion pairs, to the se…
Chains of model structures arising from modules of finite Gorenstein dimension
Nan Gao, Xue-Song Lu, Pu Zhang
For any integer and any ring , \ proves to be a complete hereditary cotorsion pair in -Mod, wh…
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,…
Model structure from one hereditary complete cortorsion pair
Jian Cui, Xue-Song Lu, Pu Zhang
In contrast with the Hovey correspondence of abelian model structures from two complete cotorsion pairs, Beligiannis and Reiten give a construction of model structures on abelian c…
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…