Geodesic
On regular endomorphism rings of topological Abelian groups
Czechoslovak Mathematical Journal, Tome 61 (2011) no. 2, pp. 521-530

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We extend a result of Rangaswamy about regularity of endomorphism rings of Abelian groups to arbitrary topological Abelian groups. Regularity of discrete quasi-injective modules over compact rings modulo radical is proved. A characterization of torsion LCA groups $A$ for which ${\rm End}_c(A)$ is regular is given.
DOI : 10.1007/s10587-011-0070-6
Classification : 16E50, 16S50, 16W80, 20K30, 20K45, 22B05
Keywords: $m$-regular ring; discrete module; quasi-injective module; linearly compact group; LCA group; local product 
@article{10_1007_s10587_011_0070_6,
     author = {Abrudan, Horea Florian},
     title = {On regular endomorphism rings of topological {Abelian} groups},
     journal = {Czechoslovak Mathematical Journal},
     pages = {521--530},
     publisher = {mathdoc},
     volume = {61},
     number = {2},
     year = {2011},
     doi = {10.1007/s10587-011-0070-6},
     mrnumber = {2905420},
     zbl = {1240.20055},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0070-6/}
}
TY  - JOUR
AU  - Abrudan, Horea Florian
TI  - On regular endomorphism rings of topological Abelian groups
JO  - Czechoslovak Mathematical Journal
PY  - 2011
SP  - 521
EP  - 530
VL  - 61
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0070-6/
DO  - 10.1007/s10587-011-0070-6
LA  - en
ID  - 10_1007_s10587_011_0070_6
ER  - 
%0 Journal Article
%A Abrudan, Horea Florian
%T On regular endomorphism rings of topological Abelian groups
%J Czechoslovak Mathematical Journal
%D 2011
%P 521-530
%V 61
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0070-6/
%R 10.1007/s10587-011-0070-6
%G en
%F 10_1007_s10587_011_0070_6
Abrudan, Horea Florian. On regular endomorphism rings of topological Abelian groups. Czechoslovak Mathematical Journal, Tome 61 (2011) no. 2, pp. 521-530. doi: 10.1007/s10587-011-0070-6

Cité par Sources :