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20152026
most citedRelative Singularity Categories

10 citations · 13 across the 8 of their papers we have counts for

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Showing 2020Show all

5 papers · 1 filter

math.KT2020

The singularity category of an exact category applied to characterize Gorenstein schemes

Lars Winther Christensen, Nanqing Ding, Sergio Estrada +3

We study singularity categories of exact categories with a focus on those associated to a complete hereditary cotorsion pair. As an application we identify a non-affine analogue of…

math.RT2020

2-recollements of singualrity categories and Gorenstein defect categories over triangular matrix algebras

Huanhuan Li, Dandan Yang, Yuefei Zheng +1

Let be a triangular matrix algebra with its corner algebras and Artinian and an --bimodule. The 2-recollement structures for singularity categor…

math.RA2020

Frobenius functors and Gorenstein projective precovers

Jiangsheng Hu, Huanhuan Li, Jiafeng Lu +1

We establish relations between Gorenstein projective precovers linked by Frobenius functors. This is motivated by an open problem that how to find general classes of rings for whic…

math.RT2020

Leavitt path algebras, -algebras and Keller's conjecture for singular Hochschild cohomology

Xiao-Wu Chen, Huanhuan Li, Zhengfang Wang

For a finite quiver without sinks, we establish an isomorphism in the homotopy category of -algebras between the Hochschild cochain complex of…

math.RA2020

When the Schur functor induces a triangle-equivalence between Gorenstein defect categories

Huanhuan Li, Jiangsheng Hu, Yuefei Zheng

Let be an Artin algebra and an idempotent of . Assume that for any and sufficiently large. Necessary and sufficient…