12 citations · 22 across the 8 of their papers we have counts for
8 papers
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…
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…