7 papers · 1 filter
Relative Derived Delooping Levels and -Tilting Modules
Hanpeng Gao, Dajun Liu, Houjun Zhang
Let be an essentially small idempotent-complete exact category with enough projective objects. We develop derived delooping levels in . We apply this fra…
Higher Cotorsion Pairs on Image-Nilpotent \(η\)-Extensions
Dajun Liu, Hanpeng Gao
Let \(\cB\) be an abelian category with enough projective and injective objects, and let $ \cA=\cB\ltimes_η\sF $ be an \(η\)-extension induced by a right exact endofunctor \(\sF\).…
Projectively Wakamatsu Tilting Modules over One-Point Extensions
Dajun Liu, Jiaxuan Feng, Hanpeng Gao
Let be the one-point extension of an algebra by a -module . We establish a method to lift projectively Wakamatsu tilting (PWT) modules from to…
A characterization of IE-closed subcategories via -tilting theory
Hanpeng Gao, Dajun Liu, Yu-Zhe Liu
Enomoto and Sakai classified functorially finite IE-closed subcategories over hereditary algebras in terms of twin rigid modules. Their approach uses the hereditary assumption esse…
Some functors preserving exceptionality
Dajun Liu, Hanpeng Gao, Yu-Zhe Liu
We constructed some tensor functors that send each exceptional sequence in a module category to another exceptional sequence in another module category by using split extensions an…
On the Gorensteiness of string algebras
Houjun Zhang, Dajun Liu, Yu-Zhe Liu
In this paper, we give a description of the self-injective dimension of string algebras and obtain a necessary and sufficient condition for a string algebra to be Gorenstein.
Recollements and Gorenstein projective modules for gentle algebras
Yu-Zhe Liu, Dajun Liu, Xin Ma
Let be a gentle algebra. We provide a bijection between non-projective indecomposable Gorenstein projective modules over and special recolleme…