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On Derived Unique Gentle Algebras

Authors
  • Liu, Yu Zhe1
  • Zhang, Chao1
  • 1 Guizhou University, Department of Mathematics, School of Mathematics and Statistics, Guiyang, 550025, P. R. China , Guiyang (China)
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.

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