Extended S-supplement submodules

DURĞUN Y.

TURKISH JOURNAL OF MATHEMATICS, cilt.43, sa.6, ss.2833-2841, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 6
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3906/mat-1907-107
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.2833-2841
  • Anahtar Kelimeler: S-supplement submodules, Goldie torsion theory, coinjective modules, CLOSED SUBMODULE, MODULES
  • Çukurova Üniversitesi Adresli: Evet

Özet

In this paper, we introduced and studied extended S-supplement submodules. A submodule U of a module V is called extended S-supplement submodule in V if there exists a submodule T of V such that V = T +U and U boolean AND T is Goldie torsion. Extended S-supplement submodule is a dual notion of extended S-closed submodule. The class of extended S-supplement sequences is a proper class which is generated by nonsingular modules injectively. We studied coinjective objects of this class. Moreover, extended S-supplemented modules are also investigated. We present new characterizations of Z(2)(R-R) -semiperfect rings and SI-rings by extended S-supplement submodules.