On modules which satisfy the radical formula

SARAÇ B. , TIRAŞ Y.

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

  • Cilt numarası: 37 Konu: 2
  • Basım Tarihi: 2013
  • Doi Numarası: 10.3906/mat-1103-9
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.195-201

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.