activity
20162026
most citedSingular equivalences and Auslander-Reiten conjecture

2 citations · 4 across the 4 of their papers we have counts for

collaborators

7 papers

math.RT2026

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…

math.RT2022

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…

math.RT20211 cited

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…

math.RT20202 cited

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…

math.RT20201 cited

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…

math.RT2018

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…