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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Composition factors of indecomposable modules

Author: Maria Izabel Ramalho Martins
Journal: Trans. Amer. Math. Soc. 350 (1998), 2009-2031
MSC (1991): Primary 16G20, 16G60
MathSciNet review: 1422900
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Abstract: Let $\Lambda$ be a connected, basic finite dimensional algebra over an algebraically closed field. Our main aim is to prove that if $\Lambda$ is biserial, its ordinary quiver has no loop and every indecomposable $\Lambda$-module is uniquely determined by its composition factors, then each indecomposable $\Lambda$-module is multiplicity-free.

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Maria Izabel Ramalho Martins
Affiliation: Departamento de Matemática-IMEUSP, Universidade de São Paulo, CP 66281 - CEP 05315-970, São Paulo, Brazil

Received by editor(s): September 19, 1995
Received by editor(s) in revised form: August 1, 1996
Article copyright: © Copyright 1998 American Mathematical Society

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