A dual approach to the theory of inverse split modules

ÜNGÖR B., HALICIOĞLU S., Harmanci A.

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, cilt.17, sa.8, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 8
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1142/s0219498818501487
  • Dergi Adı: JOURNAL OF ALGEBRA AND ITS APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Dual Rickart module, inverse split module, dual inverse split module, fully invariant submodule, cosingular submodule, RICKART MODULES, SUBMODULES
  • Ankara Üniversitesi Adresli: Evet

Özet

Let R be an arbitrary ring with identity, M a right R-module and F a fully invariant submodule of M. The notion of an F-inverse split module M has been defined and studied by the present authors recently. In this paper, we introduce its dual notion, namely, dual F-inverse split module M. This work is devoted to investigation of various properties and characterizations of a dual F-inverse split module M. We include applications for rings and cosingular submodules. We also deal with the notion of relatively dual inverse splitness to investigate direct sums of dual inverse split modules.