On Radical Formula over Free Modules with Two Generators
International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Halkidiki, Yunanistan, 19 - 25 Eylül 2011, cilt.1389, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 1389
- Doi Numarası: 10.1063/1.3637757
- Basıldığı Şehir: Halkidiki
- Basıldığı Ülke: Yunanistan
- Anahtar Kelimeler: Prime submodule, Radical submodule, Radical Formula, PRIME SUBMODULES, RINGS, SATISFY
- Akdeniz Üniversitesi Adresli: Evet
Özet
In this paper, we study on the module M = R circle plus R over a commutative ring R with identity. After characterizing the radical of a submodule N of M, we give some conditions for N to satisfy the radical formula. In particular, we show that R circle plus R satisfy the radical formula if R is an arithmetical ring.