Lingling Tan

activity

20202022

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

12 citations · 12 across the 5 of their papers we have counts for

collaborators

5 papers

math.CT2022

Ideal approximation in $n$ -exangulated categories

Yucheng Wang, Jiaqun Wei

In this paper, we study the ideal approximation theory associated to almost $n$ -exact structures in the $n$ -exangulated category. The notions of $n$ -ideal cotorsion pairs and $n$ -$…

math.CT2021

One-sided Frobenius pairs in extriangulated categories

Lingling Tan, Yuqiong Gao, Qinghua Chen

Let $C$ be an extriangulated category with a proper class $ξ$ of $E$ -triangles. We introduce the notions of left Frobenius pairs, left ( $n$ -)cotorsion pairs and…

math.RT2021

Homological Dimensions of Extriangulated Categories and Recollements

Weili Gu, Xin Ma, Lingling Tan

In this paper, let $(A, B, C)$ be a recollement of extriangulated categories. We introduce the global dimension and extension dimension of extriangulate…

math.RA2020

Ideal approximation in $n$ -angulated categories

Lingling Tan, Dingguo Wang, Tiwei Zhao

In this paper, we study ideal approximation theory associated to almost $n$ -exact structures in extension closed subcategories of $n$ -angulated categories. For $n = 3$ , an $n$ -angula…

math.RT2020★ 12 cited

Almost Split Triangles and Morphisms Determined by Objects in Extriangulated Categories

Tiwei Zhao, Lingling Tan, Zhaoyong Huang

Let $(C, E, s)$ be an Ext-finite, Krull-Schmidt and $k$ -linear extriangulated category with $k$ a commutative artinian ring. We define an additive subc…