12 citations · 53 across the 26 of their papers we have counts for
27 papers
Wide subcategories over commutative coherent rings
Tiwei Zhao
In this paper, we mainly prove Hovey's conjecture: for any commutative coherent ring, there is a lattice isomorphism between the lattice of wide subcategories of the category of fi…
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…
Support -tilting posets and Hochschild reconstruction for matrix centralizer algebras
Jiangsheng Hu, Yu-Zhe Liu, Tiwei Zhao
Let be a field and the endomorphism algebra of a finite direct sum of cyclic modules over a finite-dimensional commutative local principal ideal -algebra. We construct a…
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…
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…
Little finitistic dimensions and generalized derived categories
Xiaolei Zhang, Tiwei Zhao, Dingguo Wang
In this paper, we introduced a generalization of the derived category, which is called the -derived category and denoted by $\D_{n}(R)$, of a given ring for each $n\in\mathb…
On the generalizations of global dimensions and singularity categories
Xiaolei Zhang, Tiwei Zhao, Dingguo Wang
For each , we introduce the notion of -singularity category of a given ring , which can be seen as a generalization…
Ideal approximation in -exangulated categories
Yucheng Wang, Jiaqun Wei
In this paper, we study the ideal approximation theory associated to almost -exact structures in the -exangulated category. The notions of -ideal cotorsion pairs and -$…
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…
Ideal approximation in -angulated categories
Lingling Tan, Dingguo Wang, Tiwei Zhao
In this paper, we study ideal approximation theory associated to almost -exact structures in extension closed subcategories of -angulated categories. For , an -angula…
Idempotent completion of extriangulated categories
Li Wang, Jiaqun Wei, Haicheng Zhang +1
Extriangulated categories were introduced by Nakaoka and Palu as a simultaneous generalization of exact categories and triangulated categories. In this paper, we show that the idem…
Tilting pairs in extriangulated categories
Tiwei Zhao, Bin Zhu, Xiao Zhuang
Extriangulated categories were introduced by Nakaoka and Palu to give a unification of properties in exact categories and extension-closed subcategories of triangulated categories.…
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…
Duality Pairs Induced by One-Sided Gorenstein Subcategories
Weiling Song, Tiwei Zhao, Zhaoyong Huang
For a ring and an additive subcategory $\C$ of the category $\Mod R$ of left -modules, under some conditions we prove that the right Gorenstein subcategory of $\Mod R$ and t…
One-Sided Gorenstein Subcategories
Weiling Song, Tiwei Zhao, Zhaoyong Huang
We introduce the right (left) Gorenstein subcategory relative to an additive subcategory $\C$ of an abelian category $\A$, and prove that the right Gorenstein subcategory $r\mathca…
Avramov-Martsinkovsky type exact sequences 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 first introduce the -Gorenstein co…
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…
Balance of complete cohomology in 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 the balance of complete cohomol…
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…
Support -tilting modules and recollements
Xin Ma, Zongzhen Xie, Tiwei Zhao
Let $(\mbox{mod} Λ',\mbox{mod} Λ,\mbox{mod} Λ'')$ be a recollement of abelian categories for artin algebras , and . Under certain conditions, we present an explicit co…
Special Precovered Categories of Gorenstein Categories
Tiwei Zhao, Zhaoyong Huang
Let be an abelian category and the subcategory of consisting of projective objects. Let be a full, additive and…
Foxby equivalence relative to -weak injective and -weak flat modules
Zenghui Gao, Tiwei Zhao
Let and be rings and a (faithfully) semidualizing bimodule. We introduce and study -weak flat and -weak injective modules as a generalization of -flat and…
Homological properties of modules with finite weak injective and weak flat dimensions
Tiwei Zhao
In this paper, we define a class of relative derived functors in terms of left or right weak flat resolutions to compute the weak flat dimension of modules. Moreover, we investigat…
Relative FP-injective and FP-flat complexes and their model structures
Tiwei Zhao, Marco A. Pérez
In this paper, we introduce the notions of -injective and -flat complexes in terms of complexes of type . We show that some characterizations an…