Finitely generated supplemented modules are amply supplemented

Authors
Smith, PF
Citation
Pf. Smith, Finitely generated supplemented modules are amply supplemented, AR J SCI EN, 25(2C), 2000, pp. 69-79
Citations number
13
Categorie Soggetti
Engineering Management /General
Journal title
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING
ISSN journal
03779211 → ACNP
Volume
25
Issue
2C
Year of publication
2000
Pages
69 - 79
Database
ISI
SICI code
0377-9211(200012)25:2C<69:FGSMAA>2.0.ZU;2-7
Abstract
Let R be a ring. If M is an R-module which contains an Artinian submodule K then M is supplemented if and only if M/K is supplemented. Moreover, if R is commutative then every finitely generated supplemented R-module is amply supplemented.