Geodesic
A characterization of representation-finite algebras
Fundamenta Mathematicae, Tome 140 (1991) no. 1, pp. 31-34.

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

Let A be a finite-dimensional, basic, connected algebra over an algebraically closed field. Denote by Γ(A) the Auslander-Reiten quiver of A. We show that A is representation-finite if and only if Γ(A) has at most finitely many vertices lying on oriented cycles and finitely many orbits with respect to the action of the Auslander-Reiten translation.
DOI : 10.4064/fm-140-1-31-34

Andrzej Skowroński 1 ; M. Wenderlich 1

1 
@article{10_4064_fm_140_1_31_34,
     author = {Andrzej Skowro\'nski and M. Wenderlich},
     title = {A characterization of representation-finite algebras},
     journal = {Fundamenta Mathematicae},
     pages = {31--34},
     publisher = {mathdoc},
     volume = {140},
     number = {1},
     year = {1991},
     doi = {10.4064/fm-140-1-31-34},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-140-1-31-34/}
}
TY  - JOUR
AU  - Andrzej Skowroński
AU  - M. Wenderlich
TI  - A characterization of representation-finite algebras
JO  - Fundamenta Mathematicae
PY  - 1991
SP  - 31
EP  - 34
VL  - 140
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm-140-1-31-34/
DO  - 10.4064/fm-140-1-31-34
LA  - en
ID  - 10_4064_fm_140_1_31_34
ER  - 
%0 Journal Article
%A Andrzej Skowroński
%A M. Wenderlich
%T A characterization of representation-finite algebras
%J Fundamenta Mathematicae
%D 1991
%P 31-34
%V 140
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/fm-140-1-31-34/
%R 10.4064/fm-140-1-31-34
%G en
%F 10_4064_fm_140_1_31_34
Andrzej Skowroński; M. Wenderlich. A characterization of representation-finite algebras. Fundamenta Mathematicae, Tome 140 (1991) no. 1, pp. 31-34. doi : 10.4064/fm-140-1-31-34. http://geodesic.mathdoc.fr/articles/10.4064/fm-140-1-31-34/

Cité par Sources :