Title
|
|
|
|
V-categories: applications to graded rings
| |
Author
|
|
|
|
| |
Abstract
|
|
|
|
Motivated by the study of V-rings, we introduce the concept of V-category, as a Grothendieck category with the property that any simple object is injective. We present basic properties of V-categories, and we study this concept in the special case of locally finitely generated categories, for instance the category R-gr of all graded left R-modules, where R is a graded ring. We use the characterizations of V-categories in the study of graded V-rings. Since V-rings are closely related to Von Neumann regular rings (in the commutative case these classes of rings coincide), the last part of the article is devoted to graded regular rings. |
| |
Language
|
|
|
|
English
| |
Source (journal)
|
|
|
|
Communications in algebra. - New York, N.Y.
| |
Publication
|
|
|
|
New York, N.Y.
:
2009
| |
ISSN
|
|
|
|
0092-7872
| |
Volume/pages
|
|
|
|
37
:9
(2009)
, p. 3248-3258
| |
ISI
|
|
|
|
000270582800017
| |
Full text (Publisher's DOI)
|
|
|
|
| |
|