Connections between Baer annihilator conditions and extending conditions for nearrings and rings
Journal of Algebra and its Applications, cilt.25, sa.7, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 25 Sayı: 7
- Basım Tarihi: 2026
- 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
- Anahtar Kelimeler: annihilators, Baer annihilator conditions, Chatters–Khuri theorem, essential extension, extending condition, Nearrings, rings
- İstanbul Üniversitesi Adresli: Hayır
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.