Geodesic
On the finiteness of the semigroup of conjugacy classes of left ideals for algebras with radical square zero
Arkadiusz Męcel1
1Institute of Mathematics University of Warsaw Banacha 2 02-097 Warszawa, Poland
Colloquium Mathematicum, Tome 142 (2016) no. 1, pp. 1-49

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

DOI

Let $A$ be a finite-dimensional algebra over an algebraically closed field with radical square zero, and such that all simple $A$-modules have dimension at most two. We give a characterization of those $A$ that have finitely many conjugacy classes of left ideals.
DOI : 10.4064/cm142-1-1
Keywords: finite dimensional algebra algebraically closed field radical square zero simple a modules have dimension characterization those have finitely many conjugacy classes ideals

Arkadiusz Męcel  1

1 Institute of Mathematics University of Warsaw Banacha 2 02-097 Warszawa, Poland 
Arkadiusz Męcel. On the finiteness of the semigroup of
 conjugacy classes of left ideals
 for algebras with radical square zero. Colloquium Mathematicum, Tome 142 (2016) no. 1, pp. 1-49. doi: 10.4064/cm142-1-1
@article{10_4064_cm142_1_1,
     author = {Arkadiusz M\k{e}cel},
     title = {On the finiteness of the semigroup of
 conjugacy classes of left ideals
 for algebras with radical square zero},
     journal = {Colloquium Mathematicum},
     pages = {1--49},
     year = {2016},
     volume = {142},
     number = {1},
     doi = {10.4064/cm142-1-1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm142-1-1/}
}
TY  - JOUR
AU  - Arkadiusz Męcel
TI  - On the finiteness of the semigroup of
 conjugacy classes of left ideals
 for algebras with radical square zero
JO  - Colloquium Mathematicum
PY  - 2016
SP  - 1
EP  - 49
VL  - 142
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm142-1-1/
DO  - 10.4064/cm142-1-1
LA  - en
ID  - 10_4064_cm142_1_1
ER  - 
%0 Journal Article
%A Arkadiusz Męcel
%T On the finiteness of the semigroup of
 conjugacy classes of left ideals
 for algebras with radical square zero
%J Colloquium Mathematicum
%D 2016
%P 1-49
%V 142
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/cm142-1-1/
%R 10.4064/cm142-1-1
%G en
%F 10_4064_cm142_1_1

Cité par Sources :