On Derived Unique Gentle Algebras
- Authors
- Type
- Published Article
- Journal
- Acta Mathematica Sinica, English Series
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Publication Date
- Apr 15, 2019
- Volume
- 35
- Issue
- 5
- Pages
- 649–661
- Identifiers
- DOI: 10.1007/s10114-019-8379-4
- Source
- Springer Nature
- Keywords
- License
- Yellow
Abstract
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.