11 citations · 18 across the 9 of their papers we have counts for
10 papers
Quasi-projective dimension and Gorenstein projective dimension
Yongyun Qin, Lanlan Yang
Gheibi, Jorgensen and Takahashi recently introduced the quasi-projective dimension, a homological invariant that extends the classical projective dimension. In this paper, we inves…
A note on singularity categories and triangular matrix algebras
Yongyun Qin
Let be an Artin algebra and a --bimodule. We prove that there is a triangle equivalence $D_{sg}(Λ) \co…
Eventually homological isomorphisms and Gorenstein projective modules
Yongyun Qin
We prove that a certain eventually homological isomorphism between module categories induces a triangle equivalence between their singularity categories, Gorenstein defect categori…
Reduction techniques of singular equivalences
Yongyun Qin
It is shown that a singular equivalence induced by tensoring with a suitable complex of bimodules defines a singular equivalence of Morita type with level, in the sense of Wang. Th…
Singular equivalences and Auslander-Reiten conjecture
Yiping Chen, Wei Hu, Yongyun Qin +1
Auslander-Reiten conjecture, which says that an Artin algebra does not have any non-projective generator with vanishing self-extensions in all positive degrees, is shown to be inva…
Recollements, Cohen-Macaulay Auslander algebras and Gorenstein projective conjecture
Yongyun Qin
It is shown that a 4-recollement of derived categories of CM-finite algebras induces a 2-recollement of the corresponding Cohen-Macaulay Auslander algebras, which generalises the m…
Eventually homological isomorphisms in recollements of derived categories
Yongyun Qin
For a recollement of derived categories of algebras, we investigate when the functor is an even…
Recollements and homological dimensions
Yongyun Qin
We investigate the behavior of the homological dimensions under recollements of derived categories of algebras. In particular, we establish a series of new bounds among the selfinj…
Jordan-Hölder theorems for derived categories of derived discrete algebras
Yongyun Qin
For any positive integer , -derived-simple derived discrete algebras are classified up to derived equivalence. Furthermore, the Jordan-Hölder theorems for all kinds of derive…
Reducing homological conjectures by n-recollements
Yang Han, Yongyun Qin
n-recollements of triangulated categories and n-derived-simple algebras are introduced. The relations between the n-recollements of derived categories of algebras and the Cartan de…