4 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…