Yayınlanmış 1 Ocak 2024 | Sürüm v1
Dergi makalesi Açık

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

  • 1. Univ Louisiana, Dept Math, Lafayette, LA 70504 USA
  • 2. Istanbul Univ Cerrahpasa, Dept Math & Sci Educ, Istanbul, Turkiye
  • 3. Eskisehir Tech Univ, Dept Math, TR-26470 Eskisehir, Turkiye
  • 4. Hacettepe Univ, Dept Math, TR-06800 Ankara, Turkiye
  • 5. Ankara Univ, Dept Artificial Intelligence & Data Engn, Ankara, Turkiye

Açıklama

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.

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