Geodesic
Left sections and the left part of an artin algebra
Ibrahim Assem1
1Département de mathématiques Faculté des sciences Université de Sherbrooke Sherbrooke, Québec, J1K 2R1, Canada
Colloquium Mathematicum, Tome 116 (2009) no. 2, pp. 273-300

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

DOI

We define a notion of left section in an Auslander–Reiten component, by weakening one of the axioms for sections. We derive a generalisation of the Liu–Skowroński criterion for tilted algebras, then apply our results to describe the Auslander–Reiten components lying in the left part of an artin algebra.
DOI : 10.4064/cm116-2-10
Keywords: define notion section auslander reiten component weakening axioms sections derive generalisation liu skowro ski criterion tilted algebras apply results describe auslander reiten components lying part artin algebra

Ibrahim Assem  1

1 Département de mathématiques Faculté des sciences Université de Sherbrooke Sherbrooke, Québec, J1K 2R1, Canada 
Ibrahim Assem. Left sections and the left part of an artin algebra. Colloquium Mathematicum, Tome 116 (2009) no. 2, pp. 273-300. doi: 10.4064/cm116-2-10
@article{10_4064_cm116_2_10,
     author = {Ibrahim Assem},
     title = {Left sections and the left part of an artin algebra},
     journal = {Colloquium Mathematicum},
     pages = {273--300},
     year = {2009},
     volume = {116},
     number = {2},
     doi = {10.4064/cm116-2-10},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm116-2-10/}
}
TY  - JOUR
AU  - Ibrahim Assem
TI  - Left sections and the left part of an artin algebra
JO  - Colloquium Mathematicum
PY  - 2009
SP  - 273
EP  - 300
VL  - 116
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm116-2-10/
DO  - 10.4064/cm116-2-10
LA  - en
ID  - 10_4064_cm116_2_10
ER  - 
%0 Journal Article
%A Ibrahim Assem
%T Left sections and the left part of an artin algebra
%J Colloquium Mathematicum
%D 2009
%P 273-300
%V 116
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/cm116-2-10/
%R 10.4064/cm116-2-10
%G en
%F 10_4064_cm116_2_10

Cité par Sources :