4 citations · 14 across the 15 of their papers we have counts for
15 papers
Intervals of torsion pairs and generalized Happel-Reiten-Smalø tilting
Jieyu Chen, Zengqiang Lin
Let be an abelian category with a torsion pair . Happel-Reiten-Smalo tilting provides a method to construct a new abelian category $\mathca…
The extensions of t-structures
Xiao-Wu Chen, Zengqiang Lin, Yu Zhou
We reformulate a result of Bernhard Keller on extensions of -structures and give a detailed proof. In the study of hereditary -structures, the notions of regular -structur…
The (ET4) axiom for Extriangulated Categories
Xiaoxue Kong, Zengqiang Lin, Minxiong Wang
Extriangulated categories were introduced by Nakaoka and Palu, which is a simultaneous generalization of exact categories and triangulated categories. The axiom (ET4) for extriangu…
The Auslander-Reiten quivers of string algebras of affine type and a conjecture by Geiss-Leclerc-Schröer
Hua-Lin Huang, Zengqiang Lin, Xiuping Su
In this paper, we study representations of certain string algebras, which are referred to as of affine type . We introduce minimal string modules and apply them to e…
Abelian quotients arising from extriangulated categories via morphism categories
Zengqiang Lin
We investigate abelian quotients arising from extriangulated categories via morphism categories, which is a unified treatment for both exact categories and triangulated categories.…
Abelian quotients of the categories of short exact sequences
Zengqiang Lin
We mainly investigate abelian quotients of the categories of short exact sequences. The natural framework to consider the question is via identifying quotients of morphism categori…
A general construction of -angulated categories using periodic injective resolutions
Zengqiang Lin
Let be an additive category equipped with an automorphism . We show how to obtain -angulations of using some particular periodic injective res…
Idempotent completion of n-angulated categories
Zengqiang Lin
We show that the idempotent completion of an n-angulated category admits a unique n-angulated structure such that the inclusion is an n-angulated functor, which satisfies a univers…
Homotopy cartesian diagrams in n-angulated categories
Zengqiang Lin, Yan Zheng
It has been proved by Bergh and Thaule that the higher mapping cone axiom is equivalent to the higher octahedral axiom for n-angulated categories. In this note, we use homotopy car…
-angulated categories from self-injective algebras
Zengqiang Lin
Let be a -linear category with split idempotents, and an automorphism. We show that there is an -angulated structure on $(…
Recollement of additive quotient categories
Minxiong Wang, Zengqiang Lin
In this note, we define a recollement of additive categories, and prove that such a recollement can induce a recollement of their quotient categories. As an application, we get a r…
Right -angulated categories arising from covariantly finite subcategories
Zengqiang Lin
We define the notion of right -angulated category, which generalizes the notion of right triangulated category. Let be an additive category or -angulated catego…
n-angulated quotient categories induced by mutation pairs
Zengqiang Lin
We define mutation pair in an n-angulated category and prove that given such a mutation pair, the corresponding quotient category carries a natural n-angulated structure. This resu…
Mutation pairs and triangulated quotients
Zengqiang Lin, Minxiong Wang
We define mutation pair in a pseudo-triangulated category. We prove that under certain conditions, for a mutation pair in a pseudo-triangulated category, the corresponding quotient…
Quotients of one-sided trianglated categories by rigid subcategories as module categories
Zengqiang Lin, Yang Zhang
We prove that some subquotient categories of one-sided triangulated categories are abelian. This unifies a result by Iyama-Yoshino in the case of triangulated categories and a resu…