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.

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

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
@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},
     publisher = {mathdoc},
     volume = {142},
     number = {1},
     year = {2016},
     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
PB  - mathdoc
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
%I mathdoc
%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
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. http://geodesic.mathdoc.fr/articles/10.4064/cm142-1-1/

Cité par Sources :