INVESTIGADORES
CHAIO Claudia Alicia
artículos
Título:
On the composition of three irreducible morphisms in the bounded homotopy category
Autor/es:
CHAIO, CLAUDIA, GONZALEZ CHAIO ALFREDO, PRATTI ISABEL.
Revista:
APPLIED CATEGORICAL STRUCTURES
Editorial:
SPRINGER
Referencias:
Lugar: Berlin; Año: 2022 vol. 30 p. 1043 - 1074
ISSN:
0927-2852
Resumen:
Let A be an artin algebra of finite global dimension. We study when the composition of three irreducible morphisms between indecomposable complexes in {K}^{b}(proj A) is a non-zero morphism in the fourth power of the radical. We apply such results to prove that the composition of three irreducible morphisms between indecomposable complexes in the bounded derived category of a gentle Nakayama algebra, not selfinjective, whose ordinary quiver is an oriented cycle, belongs to the fourth power of the radical if and only if it vanishes.
