Connections between Baer annihilator conditions and extending conditions for nearrings and rings

Birkenmeier G. F., KILIÇ N., Mutlu F. T., Tastan E., TERCAN A., YAŞAR R.

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1142/s0219498826500507
  • Dergi Adı: JOURNAL OF ALGEBRA AND ITS APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we define several versions of the left extending condition for nearrings and rings not necessarily having a unity. We investigate the interconnections between the extending conditions and the Baer annihilating conditions in a right nearring. Our results culminate in a nearring version of the Chatters-Khuri theorem for rings. Examples are provided illustrating and delimiting our results.