On the category of modules of second kind for Galois coverings

Dowbor, Piotr. "On the category of modules of second kind for Galois coverings." Fundamenta Mathematicae 149.1 (1996): 31-54. <http://eudml.org/doc/212107>.

@article{Dowbor1996,
abstract = {Let F: R → R/G be a Galois covering and $mod_1(R/G)$ (resp. $mod_2(R/G)$) be a full subcategory of the module category mod (R/G), consisting of all R/G-modules of first (resp. second) kind with respect to F. The structure of the categories $(mod (R/G))/[mod_1(R/G)]$ and $mod_2(R/G)$ is given in terms of representation categories of stabilizers of weakly-G-periodic modules for some class of coverings.},
author = {Dowbor, Piotr},
journal = {Fundamenta Mathematicae},
keywords = {finite dimensional basic algebras; universal Galois coverings; Galois groups; locally bounded categories; Galois covering functors; push-down functors; category of finite dimensional modules; modules of the first kind; faithful functors; induced functors; coproduct decompositions},
language = {eng},
number = {1},
pages = {31-54},
title = {On the category of modules of second kind for Galois coverings},
url = {http://eudml.org/doc/212107},
volume = {149},
year = {1996},
}

TY - JOUR
AU - Dowbor, Piotr
TI - On the category of modules of second kind for Galois coverings
JO - Fundamenta Mathematicae
PY - 1996
VL - 149
IS - 1
SP - 31
EP - 54
AB - Let F: R → R/G be a Galois covering and $mod_1(R/G)$ (resp. $mod_2(R/G)$) be a full subcategory of the module category mod (R/G), consisting of all R/G-modules of first (resp. second) kind with respect to F. The structure of the categories $(mod (R/G))/[mod_1(R/G)]$ and $mod_2(R/G)$ is given in terms of representation categories of stabilizers of weakly-G-periodic modules for some class of coverings.
LA - eng
KW - finite dimensional basic algebras; universal Galois coverings; Galois groups; locally bounded categories; Galois covering functors; push-down functors; category of finite dimensional modules; modules of the first kind; faithful functors; induced functors; coproduct decompositions
UR - http://eudml.org/doc/212107
ER -