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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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The existence of bounded infinite $D$Tr-orbits
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by Shi Ping Liu and Rainer Schulz PDF
Proc. Amer. Math. Soc. 122 (1994), 1003-1005 Request permission

Abstract:

We construct an indecomposable module over a symmetric algebra whose DTr-ovbil is infinite and bounded. This yields a counterexample to a conjecture which states that the number of modules in an Auslander-Reiten component having the same length is finite.
References
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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 122 (1994), 1003-1005
  • MSC: Primary 16G10; Secondary 16G70
  • DOI: https://doi.org/10.1090/S0002-9939-1994-1223516-4
  • MathSciNet review: 1223516