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/