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The composite of irreducible morphisms in regular components

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Chaio C., Platzeck M., Trepode S.

Colloquium Mathematicum

2011

tom 123

nr 1

27-47

We study when the composite of n irreducible morphisms between modules in a regular component of the Auslander-Reiten quiver is non-zero and lies in the n+1-th power of the radical ℜ of the module category. We prove that in this case such a composite belongs to $ℜ^{∞}$. We apply these results to characterize those string algebras having n irreducible morphisms between band modules such that their composite is a non-zero morphism in $ℜ^{n+1}$.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Chaio C.

1 Platzeck M.

1 Trepode S.

1 2011

Wyniki wyszukiwania

The composite of irreducible morphisms in regular components