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math.RT2025
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…
math.RT2025
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.