Extended S-supplement submodules


DURĞUN Y.

TURKISH JOURNAL OF MATHEMATICS, cilt.43, ss.2833-2841, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 43 Konu: 6
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3906/mat-1907-107
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.2833-2841

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.