6 citations · 18 across the 14 of their papers we have counts for
14 papers
A non-vanishing result on the singularity category
Xiao-Wu Chen, Zhi-Wei Li, Xiaojin Zhang +1
We prove that a virtually periodic object in an abelian category gives rise to a non-vanishing result on certain Hom groups in the singularity category. Consequently, for any artin…
Tau-tilting modules over trivial extenstions
Zhi-Wei Li, Xiaojin Zhang
We study (support) -tilting modules over the trivial extensions of finite dimensional algebras. More precisely, we construct two classes of (support)-tilting modules in terms…
A construction of Gorenstein projective tau-tilting modules
Zhi-Wei Li, Xiaojin Zhang
We give a construction of Gorenstein projective -tilting modules in terms of tensor products of modules. As a consequence, we give a class of non-self-injective algebras admitti…
The Brundan-Kleshchev isomorphism revisited
Fan Kong, Zhiwei Li
We give a short and unified proof of the Brundan-Kleshchev isomorphism between blocks of cyclotomic Hecke algebras and cyclotomic KhovanovLauda-Rouquier algebras of type A.
The Brundan-Kleshchev subalgebra and BK-type isomorphsims
Fan Kong, Zhiwei Li
We use a unified method to give an isomorphism between direct sums of cyclotomic affine (and degenerate affine) Hecke algebras and cyclotomic BK-subalgebras which are some KLR-type…
A homotopy theory of additive categories with suspensions
Zhi-Wei Li
We develop a homotopy theory for additive categories endowed with endofunctors, analogous to the concept of a model structure. We use it to construct the homotopy theory of a Hovey…
A homotopy theory of Nakaoka twin cotorsion pairs
Zhi-Wei Li
We show that the Verdier quotients can be realized as subfactors by the homotopy theory of additive categories with suspensions developed in \cite{ZWLi2, ZWLi3}. As applications, w…
The realization of Verdier quotients as triangulated subfactors
Zhi-Wei Li
We give a method to realize Verdier quotients as triangulated subfactors of an arbitrary triangulated category. We show that Iyama-Yoshino triangulated subfactors are Verdier quoti…
A note on model structures on arbitrary Frobenius categories
Zhi-Wei Li
We show that there is a model structure in the sense of Quillen on an arbitrary Frobenius category $\F$ such that the homotopy category of this model structure is equivalent to the…
The triangulation of the subfactor categories of additive categories with suspensions
Zhi-Wei Li
We provide a framework to triangulate subfactor categories of additive categories with additive endofunctors. It is proved that such a framework is sufficiently flexible to cover m…
Complete cotorsion pairs in exact categories
Zhi-Wei Li
We show a cotorsion pair cogenerated by a class is complete under suitable conditions in an arbitrary exact category using the generalized small object argument given by Chorny. Th…
Priles of one-sided triangulated categories and exact model categories
Zhi-Wei Li
We introduce the notion of a prile of one-sided triangulated categories. Roughly speaking, a prile consists of two one-sided triangulated categories having a common full subcategor…
A note on the model (co-)slice categories
Zhi-Wei Li
There are various adjunctions between model (co-)slice and slice categories. We characterize when these adjunctions are Quillen equivalences. As an application, a triangle equivale…
The left (right) triangulated structures of the stable categories
Zhi-Wei Li
Beligiannis and Marmaridis [\emph{Comm. in Algebra,} 22(12)(1994), 5021-5036] constructed the left and right triangulated structures on the stable categories of additive categories…