PRESERVING AND REFLECTING COVERS BY FUNCTORS - APPLICATIONS TO GRADEDMODULES

Citation
Jrg. Rozas et B. Torrecillas, PRESERVING AND REFLECTING COVERS BY FUNCTORS - APPLICATIONS TO GRADEDMODULES, Journal of pure and applied algebra, 112(1), 1996, pp. 91-107
Citations number
16
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
ISSN journal
00224049
Volume
112
Issue
1
Year of publication
1996
Pages
91 - 107
Database
ISI
SICI code
0022-4049(1996)112:1<91:PARCBF>2.0.ZU;2-9
Abstract
We study G-covers in the context of Grothendieck categories. Namely, w e analyse when a functor between two Grothendieck categories preserves or reflects G-covers. We apply our general study to the category of g raded modules over a graded ring, by showing that relative injective c overs with respect to a torsion theory are preserved and reflected, in some cases,among the categories R-gr, R(1)-Mod and R-Mod.