The Radical Formula for Noncommutative Rings

Ones O., Alkan M.

UKRAINIAN MATHEMATICAL JOURNAL, cilt.71, sa.9, ss.1419-1428, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 71 Sayı: 9
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s11253-020-01723-y
  • Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.1419-1428
  • Akdeniz Üniversitesi Adresli: Evet

Özet

We determine some classes of left modules satisfying the radical formula in a noncommutative ring. We also show that, under a certain condition, a finitely generated module over an HNP -ring (a generalization of the Dedekind domain) both satisfies the radical formula and can be decomposed into a direct sum of torsion and extending modules.