Radicals of submodules of free modules

Citation
D. Pusat-yilmaz et Pf. Smith, Radicals of submodules of free modules, COMM ALGEB, 27(5), 1999, pp. 2253-2266
Citations number
6
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN ALGEBRA
ISSN journal
00927872 → ACNP
Volume
27
Issue
5
Year of publication
1999
Pages
2253 - 2266
Database
ISI
SICI code
0092-7872(1999)27:5<2253:ROSOFM>2.0.ZU;2-5
Abstract
In this paper we describe the radical of a finitely generated submodule N o f a Gee module F of finite rank. As a result of this characterization we ca n obtain the radical of a finitely generated module over a commutative Noet herian ring. Some examples are also given to illustrate the usefulness and practicality of the method presented here.