INVESTIGADORES
CHAIO Claudia Alicia
artículos
Título:
On the Composition of Four Irreducible Morphisms in the Fifth Power of the Radical
Autor/es:
CHAIO, CLAUDIA, AND NICOLÁS LLODRA SCHAT
Revista:
Algebras and Representation Theory
Editorial:
SPRINGER
Referencias:
Lugar: Berlin; Año: 2021 vol. 24 p. 231 - 251
ISSN:
1386-923X
Resumen:
Given $A$ an artin algebra we study when the non-zero composition of four irreducible morphisms between indecomposable $A$-modules belongs to the fifth power of the radical of its module category. In particular, when $A$ is a finite dimensional algebra over an algebraically closed field we prove that if the composition of four irreducible morphisms between indecomposable $A$-modules belongs to the fifth power of the radical of their module category then any composition of four irreducible morphisms between the same indecomposable $A$-modules so is.
