On generalized morphic modules

Çeken S., Tekir Ü., Koç S.

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA, SERIA MATEMATICA, cilt.33, sa.1, ss.137-152, 2025 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 1
  • Basım Tarihi: 2025
  • Dergi Adı: ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA, SERIA MATEMATICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.137-152
  • Marmara Üniversitesi Adresli: Hayır

Özet

Aim of the present article is to extend generalized morphic ring to modules. Let R beacommutative ring with a unity and M anR-module. M is said to be a generalized morphic module if for each m Mthere exists a R such that annR(m) = (a) + annR(M) where (a) is the principal ideal generated by an element a R. Many examples and characterizations of generalized morphic modules are given. Moreover, as an application of generalized morphic modules, we use them to characterize Baer modules and principal ideal rings.