Totally Goldie*-Supplemented Modules

Güroğlu A. T.

9th International Congress on Fundamental and Applied Sciences, İstanbul, Türkiye, 28 - 30 Haziran 2022, (Özet Bildiri)

  • Yayın Türü: Bildiri / Özet Bildiri
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

Let R be a ring and M be a right R-module. A module M is said to be Goldie*-supplemented module, if, for each submodule X of M, there exists a supplement submodule S of M such that Xβ*S [1]. Clearly, Goldie*-supplemented modules are supplemented. A module M is called totally Goldie*-supplemented module, if every submodule of M is Goldie*-supplemented. We show that factor module of totally Goldie*-supplemented module is totally Goldie*- supplemented. Moreover, finite direct sum of totally Goldie*-supplemented is totally Goldie*- supplemented under certain condition. We also discuss the the some properties of this module and we give the relation between totally Goldie*-supplemented and Goldie*-supplemented.