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On Derived Unique Gentle Algebras

Authors
  • Liu, Yu Zhe
  • Zhang, Chao
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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