RADICALS OF SUBMODULES IN MODULES


YEŞİLOT G.

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, cilt.47, ss.445-447, 2010 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 47 Konu: 4
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1556/sscmath.2009.1149
  • Dergi Adı: STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
  • Sayfa Sayıları: ss.445-447

Özet

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.