Geodesic
A class of quasitilted rings that are not tilted
Riccardo Colpi1 ; Kent R. Fuller2 ; Enrico Gregorio3
1 Università di Padova Via Belzoni 35131 Padova, Italy
2 University of Iowa Iowa City, IA 52242, U.S.A.
3 Università di Verona Ca' Vignal, Strada Le Grazie 33100 Verona, Italy
Colloquium Mathematicum, Tome 104 (2006) no. 1, pp. 151-156

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm104-1-10
Keywords: based work happel reiten smal quasitilted artin algebras first authors recently introduced notion quasitilted rings various authors have presented examples quasitilted artin algebras tilted here present class right quasitilted rings right tilted satisfy condition would force quasitilted artin algebra tilted

Riccardo Colpi 1 ; Kent R. Fuller 2 ; Enrico Gregorio 3

1 Università di Padova Via Belzoni 35131 Padova, Italy
2 University of Iowa Iowa City, IA 52242, U.S.A.
3 Università di Verona Ca' Vignal, Strada Le Grazie 33100 Verona, Italy 
@article{10_4064_cm104_1_10,
     author = {Riccardo Colpi and Kent R. Fuller and Enrico Gregorio},
     title = {A class of quasitilted rings that are not tilted},
     journal = {Colloquium Mathematicum},
     pages = {151--156},
     publisher = {mathdoc},
     volume = {104},
     number = {1},
     year = {2006},
     doi = {10.4064/cm104-1-10},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm104-1-10/}
}
TY  - JOUR
AU  - Riccardo Colpi
AU  - Kent R. Fuller
AU  - Enrico Gregorio
TI  - A class of quasitilted rings that are not tilted
JO  - Colloquium Mathematicum
PY  - 2006
SP  - 151
EP  - 156
VL  - 104
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm104-1-10/
DO  - 10.4064/cm104-1-10
LA  - en
ID  - 10_4064_cm104_1_10
ER  - 
%0 Journal Article
%A Riccardo Colpi
%A Kent R. Fuller
%A Enrico Gregorio
%T A class of quasitilted rings that are not tilted
%J Colloquium Mathematicum
%D 2006
%P 151-156
%V 104
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm104-1-10/
%R 10.4064/cm104-1-10
%G en
%F 10_4064_cm104_1_10
Riccardo Colpi; Kent R. Fuller; Enrico Gregorio. A class of quasitilted rings that are not tilted. Colloquium Mathematicum, Tome 104 (2006) no. 1, pp. 151-156. doi: 10.4064/cm104-1-10

Cité par Sources :