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arXiv · 2507.08094

Leaps in the depth of compositions of irreducible morphisms

Viktor Chust·Flávio U. Coelho
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Abstract

In this article, we give a family of examples of algebras, showing that for every $n \geq 2$ and $m \geq 0$, there is an algebra displaying a path of n irreducible morphisms between indecomposable modules whose composite lies in the $(n+m+3)$-th power of the radical, but not in the $(n + m + 4)$-th power. Such an algebra may be also supposed to be string and representation-finite.

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BibTeXRIS

Viktor Chust, Flávio U. Coelho. 2025-07-10. Leaps in the depth of compositions of irreducible morphisms. https://arxiv.org/abs/2507.08094

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