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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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Auslander-Reiten components determined by their composition factors
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by Alicja Jaworska, Piotr Malicki and Andrzej Skowroński PDF
Proc. Amer. Math. Soc. 140 (2012), 4131-4140 Request permission

Abstract:

We provide sufficient conditions for a component of the Auslander-Reiten quiver of an Artin algebra to be determined by the composition factors of its indecomposable modules.
References
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Additional Information
  • Alicja Jaworska
  • Affiliation: Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland
  • Email: jaworska@mat.uni.torun.pl
  • Piotr Malicki
  • Affiliation: Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland
  • MR Author ID: 613525
  • ORCID: 0000-0001-9747-9019
  • Email: pmalicki@mat.uni.torun.pl
  • Andrzej Skowroński
  • Affiliation: Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland
  • Email: skowron@mat.uni.torun.pl
  • Received by editor(s): December 10, 2010
  • Received by editor(s) in revised form: April 19, 2011, and June 3, 2011
  • Published electronically: April 26, 2012
  • Additional Notes: This research was supported by the Research Grant N N201 269135 of the Polish Ministry of Science and Higher Education.
  • Communicated by: Birge Huisgen-Zimmermann
  • © Copyright 2012 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 140 (2012), 4131-4140
  • MSC (2010): Primary 16G10, 16G70; Secondary 16E20
  • DOI: https://doi.org/10.1090/S0002-9939-2012-11298-5
  • MathSciNet review: 2957203