Categorical methods in graded ring theory.

Río, Angel del. "Categorical methods in graded ring theory.." Publicacions Matemàtiques 36.2A (1992): 489-531. <http://eudml.org/doc/41732>.

@article{Río1992,
abstract = {Let G be a group, R a G-graded ring and X a right G-set. We study functors between categories of modules graded by G-sets, continuing the work of [M]. As an application we obtain generalizations of Cohen-Montgomery Duality Theorems by categorical methods. Then we study when some functors introduced in [M] (which generalize some functors ocurring in [D1], [D2] and [NRV]) are separable. Finally we obtain an application to the study of the weak dimension of a group graded ring.},
author = {Río, Angel del},
journal = {Publicacions Matemàtiques},
keywords = {group-graded rings; categories of modules; adjoint functors; equivalences; Morita dualities; Cohen-Montgomery duality theorems; separable adjoint functors; weak global dimensions},
language = {eng},
number = {2A},
pages = {489-531},
title = {Categorical methods in graded ring theory.},
url = {http://eudml.org/doc/41732},
volume = {36},
year = {1992},
}

TY - JOUR
AU - Río, Angel del
TI - Categorical methods in graded ring theory.
JO - Publicacions Matemàtiques
PY - 1992
VL - 36
IS - 2A
SP - 489
EP - 531
AB - Let G be a group, R a G-graded ring and X a right G-set. We study functors between categories of modules graded by G-sets, continuing the work of [M]. As an application we obtain generalizations of Cohen-Montgomery Duality Theorems by categorical methods. Then we study when some functors introduced in [M] (which generalize some functors ocurring in [D1], [D2] and [NRV]) are separable. Finally we obtain an application to the study of the weak dimension of a group graded ring.
LA - eng
KW - group-graded rings; categories of modules; adjoint functors; equivalences; Morita dualities; Cohen-Montgomery duality theorems; separable adjoint functors; weak global dimensions
UR - http://eudml.org/doc/41732
ER -