t-Generalized Supplemented Modules

Creative Commons License

Kosar B., Nebiyev C.

UKRAINIAN MATHEMATICAL JOURNAL, cilt.67, sa.11, ss.1678-1686, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 67 Sayı: 11
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s11253-016-1182-9
  • Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1678-1686
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In the present paper, t-generalized supplemented modules are defined starting from the generalized a-supplemented modules. In addition, we present examples separating the t-generalized supplemented modules, supplemented modules, and generalized a-supplemented modules and also show the equality of these modules for projective and finitely generated modules. Moreover, we define cofinitely t-generalized supplemented modules and give the characterization of these modules. Furthermore, for any ring R, we show that any finite direct sum of t-generalized supplemented R-modules is t-generalized supplemented and that any direct sum of cofinitely t-generalized supplemented R-modules is a cofinitely t-generalized supplemented module.