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math.RA2025
Totally acyclic complexes and homological invariants over arbitrary rings
Jian Wang, Yunxia Li, Jiangsheng Hu +1
In this paper, we investigate equivalent characterizations of the condition that every acyclic complex of projective, injective, or flat modules is totally acyclic over a general r…
math.RA2023
Auslander conditions and tilting-like cotorsion pairs
Jian Wang, Yunxia Li, Jinyong Wu +1
We study homological behavior of modules satisfying the Auslander condition. Assume that is the class of left -modules satisfying the Auslander condition. It is p…
math.RA2018
When the kernel of a complete hereditary cotorsion pair is the additive closure of a tilting module
Jian Wang, Yunxia Li, Jiangsheng Hu
In this paper, we study when the kernel of a complete hereditary cotorsion pair is the additive closure of a tilting module. Applications go in three directions. The first is to ch…