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

 

Modules determined by their tops and socles


Authors: K. Bongartz and S. O. Smalø
Journal: Proc. Amer. Math. Soc. 96 (1986), 34-38
MSC: Primary 16A64; Secondary 16A46
MathSciNet review: 813804
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Abstract: We prove that a module in a preprojective component of the Auslander-Reiten quiver of an artin algebra is determined by its top and socle. Also other invariants determining such a module are given.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1986-0813804-0
PII: S 0002-9939(1986)0813804-0
Article copyright: © Copyright 1986 American Mathematical Society