Galois coverings and splitting properties of the ideal generated by halflines

Piotr Dowbor. "Galois coverings and splitting properties of the ideal generated by halflines." Colloquium Mathematicae 101.2 (2004): 237-257. <http://eudml.org/doc/283470>.

@article{PiotrDowbor2004,
abstract = {Given a locally bounded k-category R and a group $G ⊆ Aut_\{k\}(R)$ 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 → R/G, is strictly full (Theorems 1.5 and 4.2).},
author = {Piotr Dowbor},
journal = {Colloquium Mathematicae},
keywords = {Galois coverings; locally finite-dimensional modules; tame representation type; locally bounded categories; categories of indecomposable modules},
language = {eng},
number = {2},
pages = {237-257},
title = {Galois coverings and splitting properties of the ideal generated by halflines},
url = {http://eudml.org/doc/283470},
volume = {101},
year = {2004},
}

TY - JOUR
AU - Piotr Dowbor
TI - Galois coverings and splitting properties of the ideal generated by halflines
JO - Colloquium Mathematicae
PY - 2004
VL - 101
IS - 2
SP - 237
EP - 257
AB - Given a locally bounded k-category R and a group $G ⊆ Aut_{k}(R)$ 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 → R/G, is strictly full (Theorems 1.5 and 4.2).
LA - eng
KW - Galois coverings; locally finite-dimensional modules; tame representation type; locally bounded categories; categories of indecomposable modules
UR - http://eudml.org/doc/283470
ER -