Geodesic
Outer Partial Actions and Partial Skew Group Rings
Canadian journal of mathematics, Tome 67 (2015) no. 5, pp. 1144-1160

Voir la notice de l'article provenant de la source Cambridge

DOI

We extend the classical notion of an outer action $\alpha $ of a group $G$ on a unital ring $A$ to the case when $\alpha $ is a partial action on ideals, all of which have local units. We show that if $\alpha $ is an outer partial action of an abelian group $G$ , then its associated partial skew group ring $A\,{{\star }_{\alpha }}\,G$ is simple if and only if $A$ is $G$ -simple. This result is applied to partial skew group rings associated with two different types of partial dynamical systems.
DOI : 10.4153/CJM-2014-043-8
Mots-clés : 16S35, 16W50, 37B05, 37B99, 54H15, 54H20, outer action, partial action, minimality, topological dynamics, partial skew group ring, simplicity 
Nystedt, Patrik; Öinert, Johan. Outer Partial Actions and Partial Skew Group Rings. Canadian journal of mathematics, Tome 67 (2015) no. 5, pp. 1144-1160. doi: 10.4153/CJM-2014-043-8
@article{10_4153_CJM_2014_043_8,
     author = {Nystedt, Patrik and \"Oinert, Johan},
     title = {Outer {Partial} {Actions} and {Partial} {Skew} {Group} {Rings}},
     journal = {Canadian journal of mathematics},
     pages = {1144--1160},
     year = {2015},
     volume = {67},
     number = {5},
     doi = {10.4153/CJM-2014-043-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2014-043-8/}
}
TY  - JOUR
AU  - Nystedt, Patrik
AU  - Öinert, Johan
TI  - Outer Partial Actions and Partial Skew Group Rings
JO  - Canadian journal of mathematics
PY  - 2015
SP  - 1144
EP  - 1160
VL  - 67
IS  - 5
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2014-043-8/
DO  - 10.4153/CJM-2014-043-8
ID  - 10_4153_CJM_2014_043_8
ER  - 
%0 Journal Article
%A Nystedt, Patrik
%A Öinert, Johan
%T Outer Partial Actions and Partial Skew Group Rings
%J Canadian journal of mathematics
%D 2015
%P 1144-1160
%V 67
%N 5
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2014-043-8/
%R 10.4153/CJM-2014-043-8
%F 10_4153_CJM_2014_043_8

Cité par Sources :