ON COFINITELY (D∗12)-MODULES

Eryılmaz F.

MISKOLC MATHEMATICAL NOTES, cilt.26, sa.2, ss.757-765, 2025 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 2
  • Basım Tarihi: 2025
  • Doi Numarası: 10.18514/mmn.2025.4971
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.757-765
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this paper, concepts of (cofinitely) (D & lowast;)-modules which are a proper generalization of concept of circle plus delta-supplemented modules are studied. We say that M is a (D & lowast; 12 )-module if for 12 every submodule A of M, there exists a direct summand B of M and an epimorphism f : B-M such that ker ( f) << delta B. The module M is called cofinitely (D & lowast;)-module if for every cofiniteA 12 submodule A of M, there exists a direct summand B of M and an epimorphism f : B-MA such that ker ( f ) << delta B. In this paper, various properties of these modules are given. In addition, a new characterization of delta-semiperfect rings is given using cofinitely (D & lowast; )-modules. 12