INVESTIGADORES
CHAIO Claudia Alicia
artículos
Título:
On cycles of length three.
Autor/es:
CHAIO CLAUDIA, GUAZZELLI VICTORIA, PAMELA SUAREZ.
Revista:
COMMUNICATIONS IN ALGEBRA
Editorial:
TAYLOR & FRANCIS INC
Referencias:
Lugar: Londres; Año: 2022 vol. 50 p. 2532 - 2556
ISSN:
0092-7872
Resumen:
We prove that if A is a string algebra then there are not three irreducible morphisms between indecomposable A-modules such that its composition belongs to Re^{6} ackslash Re^{7}, whenever the compositions of two of them are not in Re^{3}. Moreover, for any positive integer n geq 3, we show that there are n irreducible morphisms such that their composition is in Re^{n+4} ackslash Re^{n+5}.