摘要
An algebra A is called derived-unique provided that any algebra which is derived equivalent to A is necessarily Morita equivalent to A. We classify derived-unique gentle algebras with at most one cycle using the combinatorial invariant introduced by Avella-Alaminos and Geiss.
An algebra A is called derived-unique provided that any algebra which is derived equivalent to A is necessarily Morita equivalent to A. We classify derived-unique gentle algebras with at most one cycle using the combinatorial invariant introduced by Avella-Alaminos and Geiss.
基金
Supported by the National Natural Science Foundation of China(Grant Nos.11601098 and 11701321)
Science Technology Foundation of Guizhou Province(Grant Nos.QSF[2016]1038 and [2018]1021)