On minimal non-tilted algebras

Flávio U. Coelho, José A. de la Peña, and Sonia Trepode. "On minimal non-tilted algebras." Colloquium Mathematicae 111.1 (2008): 71-84. <http://eudml.org/doc/284172>.

@article{FlávioU2008,
abstract = {A minimal non-tilted triangular algebra such that any proper semiconvex subcategory is tilted is called a tilt-semicritical algebra. We study the tilt-semicritical algebras which are quasitilted or one-point extensions of tilted algebras of tame hereditary type. We establish inductive procedures to decide whether or not a given strongly simply connected algebra is tilted.},
author = {Flávio U. Coelho, José A. de la Peña, Sonia Trepode},
journal = {Colloquium Mathematicae},
keywords = {tilted algebras; quasitilted algebras; semitilted algebras; shod algebras; one-point extensions; critical algebras},
language = {eng},
number = {1},
pages = {71-84},
title = {On minimal non-tilted algebras},
url = {http://eudml.org/doc/284172},
volume = {111},
year = {2008},
}

TY - JOUR
AU - Flávio U. Coelho
AU - José A. de la Peña
AU - Sonia Trepode
TI - On minimal non-tilted algebras
JO - Colloquium Mathematicae
PY - 2008
VL - 111
IS - 1
SP - 71
EP - 84
AB - A minimal non-tilted triangular algebra such that any proper semiconvex subcategory is tilted is called a tilt-semicritical algebra. We study the tilt-semicritical algebras which are quasitilted or one-point extensions of tilted algebras of tame hereditary type. We establish inductive procedures to decide whether or not a given strongly simply connected algebra is tilted.
LA - eng
KW - tilted algebras; quasitilted algebras; semitilted algebras; shod algebras; one-point extensions; critical algebras
UR - http://eudml.org/doc/284172
ER -