Given a locally bounded k-category R and a group 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 → R/G, is strictly full (Theorems 1.5 and 4.2).
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm101-2-7,
author = {Piotr Dowbor},
title = {Galois coverings and splitting properties of the ideal generated by halflines},
journal = {Colloquium Mathematicae},
volume = {100},
year = {2004},
pages = {237-257},
zbl = {1105.16022},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm101-2-7}
}
Piotr Dowbor. Galois coverings and splitting properties of the ideal generated by halflines. Colloquium Mathematicae, Tome 100 (2004) pp. 237-257. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm101-2-7/