# Categorical methods in graded ring theory.

Publicacions Matemàtiques (1992)

- Volume: 36, Issue: 2A, page 489-531
- ISSN: 0214-1493

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topRío, 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 -

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