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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Derived tame Nakayama algebras
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by Viktor Bekkert, Hernán Giraldo and José A. Vélez-Marulanda PDF
Proc. Amer. Math. Soc. 149 (2021), 4555-4567 Request permission

Abstract:

We determine the derived representation type of Nakayama algebras and prove that a derived tame Nakayama algebra without simple projective module is gentle or derived equivalent to some skewed-gentle algebra, and as a consequence, we determine its singularity category.
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Additional Information
  • Viktor Bekkert
  • Affiliation: Departamento de Matemática, Universidade Federal de Minas Gerais, Belo Horizonte, Minas Gerais, Brasil
  • MR Author ID: 240772
  • ORCID: 0000-0002-3629-4181
  • Email: bekkert@mat.ufmg.br
  • Hernán Giraldo
  • Affiliation: Instituto de Matemáticas, Universidad de Antioquia, Medellín, Antioquia, Colombia
  • ORCID: 0000-0002-8412-9033
  • Email: hernan.giraldo@udea.edu.co
  • José A. Vélez-Marulanda
  • Affiliation: Department of Mathematics, Valdosta State University, Valdosta, Georgia 31698
  • ORCID: 0000-0002-6864-5898
  • Email: javelezmarulanda@valdosta.edu
  • Received by editor(s): January 29, 2020
  • Received by editor(s) in revised form: January 29, 2021
  • Published electronically: August 12, 2021
  • Additional Notes: This research was partly supported by CODI and Estrategia de Sostenibilidad 2020-2021 (Universidad de Antioquia, UdeA), and COLCIENCIAS-ECOPETROL (Contrato RC. No. 0266-2013).
  • Communicated by: Jerzy Weyman
  • © Copyright 2021 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 149 (2021), 4555-4567
  • MSC (2020): Primary 16G60, 16G70; Secondary 15A21, 16E05, 18G80
  • DOI: https://doi.org/10.1090/proc/15612
  • MathSciNet review: 4310085