RADICALS OF SUBMODULES IN MODULES
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, vol.47, no.4, pp.445-447, 2010 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 47 Issue: 4
- Publication Date: 2010
- Doi Number: 10.1556/sscmath.2009.1149
- Journal Name: STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.445-447
- Yıldız Technical University Affiliated: Yes
Abstract
The radical rad N of a submodule N of a module M is defined as the intersection of all prime submodules containing N. In this paper, we show that if the ideals (N : M) and (L : M) are comaximal then the equality rad (N boolean AND L) = rad N boolean AND rad L holds. We also discuss some properties of finitely generated R-modules.