12 citations · 53 across the 26 of their papers we have counts for
10 papers · 1 filter
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…