A class of quasitilted rings that are not tilted

Riccardo Colpi, Kent R. Fuller, and Enrico Gregorio. "A class of quasitilted rings that are not tilted." Colloquium Mathematicae 104.1 (2006): 151-156. <http://eudml.org/doc/284149>.

@article{RiccardoColpi2006,
abstract = {Based on the work of D. Happel, I. Reiten and S. Smalø on quasitilted artin algebras, the first two authors recently introduced the notion of quasitilted rings. Various authors have presented examples of quasitilted artin algebras that are not tilted. Here we present a class of right quasitilted rings that not right tilted, and we show that they satisfy a condition that would force a quasitilted artin algebra to be tilted.},
author = {Riccardo Colpi, Kent R. Fuller, Enrico Gregorio},
journal = {Colloquium Mathematicae},
keywords = {right quasitilted rings; quasitilted Artin algebras; triangular matrix rings; cogenerators; cotilting modules; torsion theories},
language = {eng},
number = {1},
pages = {151-156},
title = {A class of quasitilted rings that are not tilted},
url = {http://eudml.org/doc/284149},
volume = {104},
year = {2006},
}

TY - JOUR
AU - Riccardo Colpi
AU - Kent R. Fuller
AU - Enrico Gregorio
TI - A class of quasitilted rings that are not tilted
JO - Colloquium Mathematicae
PY - 2006
VL - 104
IS - 1
SP - 151
EP - 156
AB - Based on the work of D. Happel, I. Reiten and S. Smalø on quasitilted artin algebras, the first two authors recently introduced the notion of quasitilted rings. Various authors have presented examples of quasitilted artin algebras that are not tilted. Here we present a class of right quasitilted rings that not right tilted, and we show that they satisfy a condition that would force a quasitilted artin algebra to be tilted.
LA - eng
KW - right quasitilted rings; quasitilted Artin algebras; triangular matrix rings; cogenerators; cotilting modules; torsion theories
UR - http://eudml.org/doc/284149
ER -