Jiangsheng Hu

activity

20172026

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

5 citations · 29 across the 31 of their papers we have counts for

collaborators

33 papers

math.AC2026

Direct products of Gorenstein flat modules over coherent rings

Guocheng Dai, Jiangsheng Hu

We construct a commutative coherent local algebra of Krull dimension zero and a countably generated projectively coresolved Gorenstein flat module whose countable power has infinit…

math.RA2026

Support $τ$ -tilting posets and Hochschild reconstruction for matrix centralizer algebras

Jiangsheng Hu, Yu-Zhe Liu, Tiwei Zhao

Let $R$ be a field and $A$ the endomorphism algebra of a finite direct sum of cyclic modules over a finite-dimensional commutative local principal ideal $R$ -algebra. We construct a…

math.RT2026

Tilting realizations of derived-equivalent matrix centralizer algebras

Jiangsheng Hu, Xin Ma, Jinbi Zhang +1

Let $A$ be the centralizer algebra of a matrix over an arbitrary field. We solve the fixed-source realization problem for matrix centralizers by proving that the matrix centralizer…

math.CT2026

Semi-orthogonal and derived decompositions for gentle algebras

Jiangsheng Hu, Yu-Zhe Liu, Tiwei Zhao

We study semi-orthogonal decompositions of perfect derived categories of gentle algebras via marked ribbon surfaces. We characterize such decompositions in terms of suitable disjoi…

math.RT2026

Balanced pairs, virtually Gorenstein rings, and cotorsion torsion triples

Sergio Estrada, Jiangsheng Hu, Jan Trlifaj

For any ring $R$ , we investigate balanced pairs of classes of modules and their relations to cotorsion triples. We characterize the special balanced pairs that fit into complete he…

math.RT2024

Model structure arising from one hereditary complete cotorsion pair on extriangulated categories

Jiangsheng Hu, Dongdong Zhang, Pu Zhang +1

Hovey's correspondence between model structures and cotorsion pairs in the setting of abelian categories, has been generalized by Nakaoka-Palu, using two cotorsion pairs, to the se…

math.AC2023

G-dimensions for DG-modules over commutative DG-rings

Jiangsheng Hu, Xiaoyan Yang, Rongmin Zhu

We define and study a notion of G-dimension for DG-modules over a non-positively graded commutative noetherian DG-ring $A$ . Some criteria for the finiteness of the G-dimension of a…

math.RA2023★ 2 cited

Auslander conditions and tilting-like cotorsion pairs

Jian Wang, Yunxia Li, Jinyong Wu +1

We study homological behavior of modules satisfying the Auslander condition. Assume that $A C$ is the class of left $R$ -modules satisfying the Auslander condition. It is p…

math.RA2022★ 1 cited

Resolving dualities and applications to homological invariants

Hongxing Chen, Jiangsheng Hu

Dualities of resolving subcategories of finitely generated modules over Artin algebras are characterized as dualities with respect to Wakamatsu tilting bimodules. By restriction of…

math.RA2022★ 1 cited

How to construct Gorenstein projective modules relative to complete duality pairs over Morita rings

Yajun Ma, Jiafeng Lü, Huanhuan Li +1

Let $Δ = (A_{B} M_{A}_{A} N_{B} B)$ be a Morita ring with $M \otimes_{A} N = 0 = N \otimes_{B} M$ .We first study how to construct (comple…

math.RT2021★ 1 cited

On the existence of Auslander-Reiten $n$ -exangles in $n$ -exangulated categories

Jian He, Jiangsheng Hu, Dongdong Zhang +1

Let $C$ be an $n$ -exangulated category. In this note, we show that if $C$ is locally finite, then $C$ has Auslander-Reiten $n$ -exangles. This unifies…

math.RA2021

Balanced pairs on triangulated categories

Xianhui Fu, Jiangsheng Hu, Dongdong Zhang +1

Let $C$ be a triangulated category. We first introduce the notion of balanced pairs in $C$ , and then establish the bijective correspondence between balanced pai…

math.RA2021

Recollements induced by left Frobenius pairs

Yajun Ma, Dandan Sun, Rongmin Zhu +1

Given a right exact functor from an abelian category into another abelian category, there is an associated abelian category called the comma category of the functor. In this paper,…

math.RT2021★ 1 cited

Higher Auslander's defect and classifying substructures of n-exangulated categories

Jiangsheng Hu, Yajun Ma, Dongdong Zhang +1

Herschend-Liu-Nakaoka introduced the notion of $n$ -exangulated categories. It is not only a higher dimensional analogue of extriangulated categories defined by Nakaoka-Palu, but al…

math.AC2021★ 1 cited

Gluing compactly generated t-structures over stalks of affine schemes

Michal Hrbek, Jiangsheng Hu, Rongmin Zhu

We show that compactly generated t-structures in the derived category of a commutative ring $R$ are in a bijection with certain families of compactly generated t-structures over th…

math.RA2020

Gluing and lifting exact model structures for the recollement of exact categories

Jiangsheng Hu, Haiyan Zhu, Rongmin Zhu

In this paper, we first provide an explicit procedure to glue together hereditary exact model structures for the recollement of exact categories. To that end, we use the notion of…

math.RA2020★ 1 cited

A new characterization of silting subcategories in the stable category of a Frobenius extriangulated category

Yajun Ma, Nanqing Ding, Yafeng Zhang +1

We give a new characterization of silting subcategories in the stable category of a Frobenius extriangulated category, generalizing the result of Di et al. (J. Algebra 525 (2019) 4…

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 $T = (A, M, 0, B)$ be a triangular matrix algebra with its corner algebras $A$ and $B$ Artinian and $_{A} M_{B}$ an $A$ - $B$ -bimodule. The 2-recollement structures for singularity categor…

math.RA2020★ 2 cited

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.CT2020

Lattice Theoretic Properties of Aprroximating Ideals

Xianhui Fu, Ivo Herzog, Jiangsheng Hu +1

It is proved that a finite intersection of special preenveloping ideals in an exact category $(A; E)$ is a special preenveloping ideal. Dually, a finite inter…