Published January 1, 2024
| Version v1
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Connections between Baer annihilator conditions and extending conditions for nearrings and rings
Creators
- 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
Description
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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