On the prime radical of a module over a noncommutative ring

ÇALLIALP F., TEKİR Ü.

TAIWANESE JOURNAL OF MATHEMATICS, cilt.8, sa.2, ss.337-341, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 2
  • Basım Tarihi: 2004
  • Doi Numarası: 10.11650/twjm/1500407631
  • Dergi Adı: TAIWANESE JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.337-341
  • Marmara Üniversitesi Adresli: Evet

Özet

Let R be a ring and M a left R.-module. The radical of M is the intersection of all prime submodules of M. It is proved that if R is a hereditary, noetherian, prime and non right artinian and M a finitely generated R-module then the radical of M has a certain form.