Iterated tilted and tilted stably hereditary algebras
Volume 98 / 2003
Colloquium Mathematicum 98 (2003), 49-62
MSC: 16G20, 16G70, 16S50.
DOI: 10.4064/cm98-1-4
Abstract
We prove that a stably hereditary bound quiver algebra $A=KQ/I$ is iterated tilted if and only if $(Q,I)$ satisfies the clock condition, and that in this case it is of type~$Q$. Furthermore, $A$ is tilted if and only if $(Q,I)$ does not contain any double-zero.