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20142026
most citedAlmost Split Triangles and Morphisms Determined by Objects in Extriangulated Categories

12 citations · 53 across the 26 of their papers we have counts for

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7 papers · 1 filter

math.RT2026

From -tilting to -tilting via splitting tilting triples

Zhongyuan Wang, Haicheng Zhang, Tiwei Zhao

Let be a splitting tilting triple. We provide a construction of -tilting -modules from -tilting -modules. On the other hand, if is hereditary, by consid…

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.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.RT2020★ 12 cited

Almost Split Triangles and Morphisms Determined by Objects in Extriangulated Categories

Tiwei Zhao, Lingling Tan, Zhaoyong Huang

Let be an Ext-finite, Krull-Schmidt and -linear extriangulated category with a commutative artinian ring. We define an additive subc…

math.RT2020★ 3 cited

Complete cohomology for extriangulated categories

Jiangsheng Hu, Dongdong Zhang, Tiwei Zhao +1

Let be an extriangulated category with a proper class of -triangles. In this paper, we study complete cohomology of objects…

math.RT2016★ 1 cited

Phantom ideals and cotorsion pairs in extriangulated categories

Tiwei Zhao, Zhaoyong Huang

In this paper, we introduce and study relative phantom morphisms in extriangulated categories defined by Nakaoka and Palu. Then using their properties, we show that if $(\C,\E,\s)$…