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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

The existence of bounded infinite $ D$Tr-orbits


Authors: Shi Ping Liu and Rainer Schulz
Journal: Proc. Amer. Math. Soc. 122 (1994), 1003-1005
MSC: Primary 16G10; Secondary 16G70
MathSciNet review: 1223516
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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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1223516-4
PII: S 0002-9939(1994)1223516-4
Keywords: Artin algebra, Auslander-Reiten quiver, DTr-orbit
Article copyright: © Copyright 1994 American Mathematical Society