Iterated tilted and tilted stably hereditary algebras

Jessica Lévesque. "Iterated tilted and tilted stably hereditary algebras." Colloquium Mathematicae 98.1 (2003): 49-62. <http://eudml.org/doc/284880>.

@article{JessicaLévesque2003,
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.},
author = {Jessica Lévesque},
journal = {Colloquium Mathematicae},
keywords = {stably hereditary algebras; iterated tilted algebras; double-zeros; clock condition; tilting modules},
language = {eng},
number = {1},
pages = {49-62},
title = {Iterated tilted and tilted stably hereditary algebras},
url = {http://eudml.org/doc/284880},
volume = {98},
year = {2003},
}

TY - JOUR
AU - Jessica Lévesque
TI - Iterated tilted and tilted stably hereditary algebras
JO - Colloquium Mathematicae
PY - 2003
VL - 98
IS - 1
SP - 49
EP - 62
AB - 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.
LA - eng
KW - stably hereditary algebras; iterated tilted algebras; double-zeros; clock condition; tilting modules
UR - http://eudml.org/doc/284880
ER -