On Radical Formula over Free Modules with Two Generators

Ceken S., ALKAN M.

International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Halkidiki, Yunanistan, 19 - 25 Eylül 2011, cilt.1389 identifier identifier

  • 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.