Rd-Subinjectivity domain of modules: RD-Subinjectivity Domain of Modules..: A. Moradzadeh-Dehkordi, Y. Alagöz

Moradzadeh-Dehkordi A., ALAGÖZ Y.

Rendiconti del Circolo Matematico di Palermo, cilt.73, sa.8, ss.3175-3193, 2024 (ESCI, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 73 Sayı: 8
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1007/s12215-024-01089-1
  • Dergi Adı: Rendiconti del Circolo Matematico di Palermo
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.3175-3193
  • Anahtar Kelimeler: A-RD-subinjective module, Köthe ring, RD-indigent module, RD-injective module, RD-subinjectivity domain
  • Hatay Mustafa Kemal Üniversitesi Adresli: Evet

Özet

Given modules M and A, M is said to be A-RD-subinjective if for every RD-extension B of A, every f∈Hom(A,M) extends to Hom(B,M). For a module M, the RD-subinjectivity domain of M is defined to be the collection of all modules A such that M is A-RD-subinjective. We investigate basic properties of RD-subinjectivity domains and provide characterizations for various types of rings and modules including p-injective modules, RD-coflat modules, von Neumann regular rings, RD-rings, Köthe rings, right Noetherian rings, and quasi-Frobenius rings in terms of RD-subinjectivity domains. Finally, we study the properties of RD-indigent modules and consider the structure of rings over which every (resp. simple) right module is RD-injective or RD-indigent.