5 papers · 1 filter
One-sided Gorenstein rings
Lars Winther Christensen, Sergio Estrada, Li Liang +2
Distinctive characteristics of Iwanaga--Gorenstein rings are typically understood through their intrinsic symmetry. We show that several of those that pertain to the Gorenstein glo…
Gorenstein flat representations of left rooted quivers
Zhenxing Di, Sergio Estrada, Li Liang +1
We study Gorenstein flat objects in the category of representations of a left rooted quiver with values in , the category of all left -modules…
Relative global dimensions and stable homotopy categories
Li Liang, Junpeng Wang
In this paper we study the finiteness of global Gorenstein AC-homological dimensions for rings, and answer the questions posed by Becerril, Mendoza, Pérez and Santiago. As an appli…
A refinement of Gorenstein flat dimension via the flat--cotorsion theory
Lars Winther Christensen, Sergio Estrada, Li Liang +3
We introduce a refinement of the Gorenstein flat dimension for complexes over an associative ring--the Gorenstein flat-cotorsion dimension--and prove that it, unlike the Gorenstein…
Homology theories and Gorenstein dimensions for complexes
Li Liang
In this paper, we first study the Gorenstein projective/flat dimension of complexes of modules. The relation between the Gorenstein projective/flat dimension for complexes and that…