12 citations · 22 across the 10 of their papers we have counts for
5 papers · 1 filter
Semi-orthogonal and derived decompositions for gentle algebras
Jiangsheng Hu, Yu-Zhe Liu, Tiwei Zhao
We study semi-orthogonal decompositions of perfect derived categories of gentle algebras via marked ribbon surfaces. We characterize such decompositions in terms of suitable disjoi…
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…