On the Multiplicative (Generalised) (α, α)−Derivations of Semiprime Rings
The algebraic properties and identities of a semiprime ring are investigated with the help of the multiplicative (generalised)-(α, α)-reverse derivation on the non-empty ideal of the semiprime ring.
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- I. N. Herstein, Jordan Derivations of Prime Rings, Proceedings of the American Mathematical Society 8 (6) (1957) 1104–1110.
- M. S. Samman, and N. Alyamani, Derivations and Reverse Derivations in Semiprime Rings, International Mathematical Forum 2 (39) (2007) 1895–1902.
- A. Asma, and A. Bano, Multiplicative (Generalized) Reverse Derivations on Semiprime Ring, European Journal of Pure and Applied Mathematics 11 (3) (2018) 717–729.
- G. S. Gurninder, and D. Kumar, Annihilator Conditions of Multiplicative Reverse Derivation on Prime Rings, International Electronic Journal of Algebra 25 (2019) 87–103.
- S. K. Tiwari, R. K. Sharma, and B. Dhara, Some theorems of commutativity on semiprime rings with mappings, Southeast Asian Bulletin of Mathematics 42 (2) (2018) 279–292.
- Z. S. M. Alhaidary, and A. H. Majeed, Commutativity Results for Multiplicative (Generalized) (α, β)-Reverse Derivations on Prime Rings, Iraqi Journal of Science 62 (9) (2021) 3102–3113.
- Z. S. M. Alhaidary, and A. H. Majeed, Square Closed Lie Ideals and Multiplicative (Generalised) (α, β)-Reverse Derivation of Prime Rings, Journal of Discrete Mathematical Sciences & Cryptography 24 (7) (2021) 2037–2046.
- E. Ulutaş, and ¨ O. Gölbaşı, Results on Multiplicative Generalized (α, α)-Derivations, International Journal of Open Problems in Computer Science & Mathematics 13 (3) (2020) 128–135.
- S. Türkmen, and N. Aydın, Generalized *-Lie ideal of *-Prime Ring, Turkish Journal of Mathematics 41 (4) (2017) 841–853.
- N. Aydın, E. Koç, and ¨O Gölbaşı, On *-(σ, τ)-Lie Ideals of *-Prime Rings with Derivation, Hacettepe Journal of Mathematics and Statics 47 (5) (2018) 1240–1247.
- B. Albayrak, and N. Aydın, Reverse and Jordan-biderivation on Prime and semiprime Rings, Adıyaman University Journal of Science 9 (1) (2019) 149–164.
- B. Albayrak, and D. Yeşil, A Generalized Study on Closed Lie ˙Ideals with (α, α)-derivations, Eskişehir Technical University Journal of Science and Technology B - Theoretical Sciences 7 (2) (2019) 195–203.
- B. Albayrak, and D. Yeşil, Closed Lie Ideals of Prime Rings with Generalized α-Derivations, International Journal of Mathematics Trends and Technology 65 (7) (2019) 101–109.
- Yayın Aralığı: Yılda 4 Sayı
- Başlangıç: 2014
- Yayıncı: Naim Çağman