37 citations · 38 across the 13 of their papers we have counts for
13 papers
A functorial approach to monomorphism categories II: Indecomposables
Nan Gao, Julian Külshammer, Sondre Kvamme +1
We investigate the (separated) monomorphism category of a quiver over an Artin algebra . We construct an epivalence from $\overline{\operatorname{…
Lifting of recollements and Gorenstein projective modules
Nan Gao, Jing Ma
In the paper, we investigate the lifting of recollements with respect to Gorenstein-projective modules. Specifically, a homological ring epimorphism can induce a lifting of the rec…
From Gorenstein derived equivalences to stable functors of Gorenstein projective modules
Nan Gao, Chi-Heng Zhang, Jing Ma
In the paper, we mainly connect the Gorenstein derived equivalence and stable functors of Gorenstein projective modules. Specially, we prove that a Gorenstein derived equivalence b…
(Gorenstein) silting modules in recollements
Nan Gao, Jing Ma
In the paper, we focus on the silting properties and the combinatorial properties of silting and Gorenstein, which is called Gorenstein silting, where the main tools used are recol…
Gorenstein silting modules and Gorenstein projective modules
Nan Gao, Jing Ma, Chi-Heng Zhang
(Partial) Gorenstein silting modules are introduced and investigated. It is shown that for finite dimensional algebras of finite CM-type, partial Gorenstein silting modules are in…
Silting complexes and Gorenstein projective modules
Nan Gao, Jing Ma, Chiheng Zhang
We introduce Gorenstein silting modules (resp. complexes), and give the relation with the usual silting modules (resp. complexes). We show that Gorenstein silting modules are the m…
Ladders of recollements of abelian categories
Nan Gao, Steffen Koenig, Chrysostomos Psaroudakis
Ladders of recollements of abelian categories are introduced, and used to address three general problems. Ladders of a certain height allow to construct recollements of triangulate…
Recollements of abelian categories and ideals in heredity chains - a recursive approach to quasi-hereditary algebras
Nan Gao, Steffen Koenig, Chrysostomos Psaroudakis
Recollements of abelian categories are used as a basis of a homological and recursive approach to quasi-hereditary algebras. This yields a homological proof of Dlab and Ringel's ch…
Ladders of compactly generated triangulated categories and preprojective algebras
Nan Gao, Chrysostomos Psaroudakis
In this paper we characterize when a recollement of compactly generated triangulated categories admits a ladder of some height going either upwards or downwards. As an application,…
Ladders of recollements, categories of monomorphisms and singularity categories
Nan Gao, Chrysostomos Psaroudakis
In this paper we show that the (un)bounded derived categories(i) of the monomorphism category, (ii) of the morphism category and (iii) of the double morphism category, admi…
Gorenstein homological aspects of monomorphism categories via Morita rings
Nan Gao, Chrysostomos Psaroudakis
For any ring R the category of monomorphisms is a full subcategory of the morphsim category over R, where the latter is equivalent to the module category of the triangular matrix r…
On homotopy categories of Gorenstein modules: compact generation and dimensions
Nan Gao
Let be a virtually Gorenstein algebra of finite CM-type. We establish a duality between the subcategory of compact objects in the homotopy category of Gorenstein projective lef…
Gorensteinness, homological invariants and Gorenstein derived categories
Nan Gao
Relations between Gorenstein derived categories, Gorenstein defect categories and Gorenstein stable categories are established. Using these, the Gorensteinness of an algebra an…