RADICALS OF SUBMODULES IN MODULES

---

Copy For Citation

YEŞİLOT G.

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, vol.47, no.4, pp.445-447, 2010 (SCI-Expanded)

• 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.