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

 

Auslander-Reiten components determined by their composition factors


Authors: Alicja Jaworska, Piotr Malicki and Andrzej Skowroński
Journal: Proc. Amer. Math. Soc. 140 (2012), 4131-4140
MSC (2010): Primary 16G10, 16G70; Secondary 16E20
Published electronically: April 26, 2012
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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.


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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
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

DOI: http://dx.doi.org/10.1090/S0002-9939-2012-11298-5
PII: S 0002-9939(2012)11298-5
Keywords: Auslander-Reiten quiver, component quiver, composition factors
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
Article copyright: © Copyright 2012 American Mathematical Society