4 papers · 1 filter
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…
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…