Embedding modules in graded modules over a semigroup-graded ring

Authors
Abrams, G Menini, C
Citation
G. Abrams et C. Menini, Embedding modules in graded modules over a semigroup-graded ring, COMM ALGEB, 29(6), 2001, pp. 2611-2625
Citations number
8
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN ALGEBRA
ISSN journal
00927872 → ACNP
Volume
29
Issue
6
Year of publication
2001
Pages
2611 - 2625
Database
ISI
SICI code
0092-7872(2001)29:6<2611:EMIGMO>2.0.ZU;2-D
Abstract
We analyze conditions under which an (ungraded) module over a semigroup-gra ded ring can be embedded in a graded module. We use this information to pro vide some sufficient conditions under which the graded Jacobson radical of the ring is contained in the (ungraded) Jacobson radical. These include, an d give an alternate approach to, the case of group-graded rings.