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.
@article{urn:eudml:doc:41732,
title = {Categorical methods in graded ring theory.},
journal = {Publicacions Matem\`atiques},
volume = {36},
year = {1992},
pages = {489-531},
mrnumber = {MR1209821},
zbl = {0781.16027},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41732}
}
Río, Angel del. Categorical methods in graded ring theory.. Publicacions Matemàtiques, Tome 36 (1992) pp. 489-531. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41732/