On modules which satisfy the radical formula

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SARAÇ B., TIRAŞ Y.

TURKISH JOURNAL OF MATHEMATICS, cilt.37, sa.2, ss.195-201, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 2
  • Basım Tarihi: 2013
  • Doi Numarası: 10.3906/mat-1103-9
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.195-201
  • Hacettepe Üniversitesi Adresli: Evet

Özet

In this paper, the authors prove that every representable module over a commutative ring with identity satisfies the radical formula. With this result, they extend the class of modules satisfying the radical formula from that of Artinian modules to a larger one. They conclude their work by giving a description of the radical of a submodule of a representable module.