Iterated tilted and tilted stably hereditary algebras

Volume 98 / 2003

Jessica Lévesque 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.

Authors

  • Jessica LévesqueDépartement de Mathématiques et Informatique
    Université de Sherbrooke
    Sherbrooke, Québec
    J1K 2R1, Canada
    e-mail

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