Geodesic
Galois coverings and splitting properties of the ideal generated by halflines
Piotr Dowbor1
1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18 87-100 Toruń, Poland
Colloquium Mathematicum, Tome 101 (2004) no. 2, pp. 237-257.

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

Given a locally bounded $k$-category $R$ and a group $G\subseteq \mathop {\rm Aut}\nolimits _{k}(R)$ acting freely on $R$ we study the properties of the ideal generated by a class of indecomposable locally finite-dimensional modules called halflines (Theorem 3.3). They are applied to prove that under certain circumstances the Galois covering reduction to stabilizers, for the Galois covering $F:R\to R/G$, is strictly full (Theorems 1.5 and 4.2).
DOI : 10.4064/cm101-2-7
Keywords: given locally bounded k category group subseteq mathop aut nolimits acting freely study properties ideal generated class indecomposable locally finite dimensional modules called halflines theorem applied prove under certain circumstances galois covering reduction stabilizers galois covering strictly full theorems

Piotr Dowbor 1

1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18 87-100 Toruń, Poland 
@article{10_4064_cm101_2_7,
     author = {Piotr Dowbor},
     title = {Galois coverings and splitting properties of
 the ideal generated by halflines},
     journal = {Colloquium Mathematicum},
     pages = {237--257},
     publisher = {mathdoc},
     volume = {101},
     number = {2},
     year = {2004},
     doi = {10.4064/cm101-2-7},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm101-2-7/}
}
TY  - JOUR
AU  - Piotr Dowbor
TI  - Galois coverings and splitting properties of
 the ideal generated by halflines
JO  - Colloquium Mathematicum
PY  - 2004
SP  - 237
EP  - 257
VL  - 101
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm101-2-7/
DO  - 10.4064/cm101-2-7
LA  - en
ID  - 10_4064_cm101_2_7
ER  - 
%0 Journal Article
%A Piotr Dowbor
%T Galois coverings and splitting properties of
 the ideal generated by halflines
%J Colloquium Mathematicum
%D 2004
%P 237-257
%V 101
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm101-2-7/
%R 10.4064/cm101-2-7
%G en
%F 10_4064_cm101_2_7
Piotr Dowbor. Galois coverings and splitting properties of
 the ideal generated by halflines. Colloquium Mathematicum, Tome 101 (2004) no. 2, pp. 237-257. doi : 10.4064/cm101-2-7. http://geodesic.mathdoc.fr/articles/10.4064/cm101-2-7/

Cité par Sources :