SOME PROPERTIES OF r-SUPPLEMENTED MODULES

Nebiyev C., Sokmez N.

MISKOLC MATHEMATICAL NOTES, cilt.25, sa.2, 2024 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 2
  • Basım Tarihi: 2024
  • Doi Numarası: 10.18514/mmn.2024.4273
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this work, r-supplemented modules are defined and some properties of these modules are investigated. It is proved that every factor module and every homomorphic image of an rsupplemented module are r-supplemented. Let M be an R-module and M = M1 +M2 +... +Mn. If Mi is r-supplemented for each i = 1, 2, ..., n, then M is also r-supplemented. Let M be an r-supplemented module. Then every finitely M-generated R-module is r-supplemented.