Composition factors of indecomposable modules

Ramalho Martins, Maria

doi:10.1090/S0002-9947-98-01929-1

Composition factors of indecomposable modules
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by Maria Izabel Ramalho Martins PDF

Trans. Amer. Math. Soc. 350 (1998), 2009-2031 Request permission

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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