ESSENTIAL RADICAL SUPPLEMENTED MODULES

Nebiyev C.

MISKOLC MATHEMATICAL NOTES, cilt.22, sa.1, ss.427-434, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.18514/mmn.2021.3215
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.427-434
  • Anahtar Kelimeler: small submodules, essential submodules, radical, generalized (radical) supplemented modules
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this work, (amply) essential radical supplemented modules are defined and some properties of these modules are investigated. Let M be an R-module and M = M-1 + M-2 + ... + M-n. If M-i is essential radical supplemented for every i = 1, 2, ..., n, then M is also essential radical supplemented. It is proved that every factor module and every homomorphic image of an essential radical supplemented module are essential radical supplemented. Let M be an essential radical supplemented R-module. Then every finitely M-generated R-module is essential radical supplemented.