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20172026
most citedThe Extension Dimension of Abelian Categories

12 citations · 30 across the 16 of their papers we have counts for

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math.RT2026

Tilting realizations of derived-equivalent matrix centralizer algebras

Jiangsheng Hu, Xin Ma, Jinbi Zhang +1

Let 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.RT2021

Resolving subcategories and dimensions in recollements of extriangulated categories

Xin Ma, Tiwei Zhao, Xin Zhuang

Recently, Wang, Wei and Zhang introduced the notion of recollements of extriangulated categories. In this paper, let be a recollement of ext…

math.RT2021

Homological Dimensions of Extriangulated Categories and Recollements

Weili Gu, Xin Ma, Lingling Tan

In this paper, let be a recollement of extriangulated categories. We introduce the global dimension and extension dimension of extriangulate…

math.RT2020★ 5 cited

Recollements and tilting modules

Xin Ma, Tiwei Zhao

Let $(\mbox{mod} Λ',\mbox{mod} Λ,\mbox{mod} Λ'')$ be a recollement of module categories for artin algebras , and . We provide a sufficient condition such that a glued…

math.RT2019★ 12 cited

The Extension Dimension of Abelian Categories

Junling Zheng, Xin Ma, Zhaoyong Huang

Let $\A$ be an abelian category having enough projective objects and enough injective objects. We prove that if $\A$ admits an additive generating object, then the extension dimens…

math.RT2017

Torsion Pairs in Recollements of Abelian Categories

Xin Ma, Zhaoyong Huang

For a recollement of abelian categories, we show that torsion pairs in and can induce torsion pairs in $\mathcal…