2 citations · 5 across the 11 of their papers we have counts for
11 papers
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…
Representations over diagrams of abelian categories II: Abelian model structures
Zhenxing Di, Liping Li, Li Liang +1
This is the second paper in a series on representations over diagrams of abelian categories. We show that, under certain conditions, a compatible family of abelian model categories…
Flat model structures and Gorenstein objects in functor categories
Zhenxing Di, Liping Li, Li Liang +1
We construct a flat model structure on the category of additive functors from a small preadditive category satisfying certain conditi…
Representations over diagrams of abelian categories I: Global structure and homological objects
Zhenxing Di, Liping Li, Li Liang +1
Representations over diagrams of abelian categories unify quite a few notions appearing widely in literature such as representations of categories, presheaves of modules over categ…
Sheaves of modules on atomic sites and discrete representations of topological groups
Zhenxing Di, Liping Li, Li Liang +1
The main goal of this paper is to establish close relations among sheaves of modules on atomic sites, representations of categories, and discrete representations of topological gro…
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…
Stable functors and cohomology theory in abelian categories
Shoutao Guo, Li Liang
In this paper, we first introduce stable functors with respect to a preenveloping/precovering subcategory and investigate some of their properties. Using that we then introduce and…
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…
A study of Tate homology via the approximation theory with applications to the depth formula
Olgur Celikbas, Li Liang, Arash Sadeghi +1
In this paper we are concerned with absolute, relative and Tate Tor modules. In the first part of the paper we generalize a result of Avramov and Martsinkovsky by using the Ausland…
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…