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Dergiler / Journal of New Theory / 2022 / Cilt: - Sayı: 39

On the Multiplicative (Generalised) (α, α)-Derivations of Semiprime Rings

Handan KARAHAN
Neşet AYDIN
Didem YEŞİL
Sayfa
42–53
Yayın Tarihi
2022-11-06
DOI
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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.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

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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Bu Makaleye Atıf Yap

KARAHAN, H., AYDIN, N., YEŞİL, D. (2022). On the Multiplicative (Generalised) (α, α)-Derivations of Semiprime Rings. Journal of New Theory, Cilt: - Sayı: 39, 42–53. https://ajindex.com/articles/652509

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Kaynakça (13)

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  2. M. S. Samman, and N. Alyamani, Derivations and Reverse Derivations in Semiprime Rings, International Mathematical Forum 2 (39) (2007) 1895–1902
  3. A. Asma, and A. Bano, Multiplicative (Generalized) Reverse Derivations on Semiprime Ring, European Journal of Pure and Applied Mathematics 11 (3) (2018) 717–729
  4. G. S. Gurninder, and D. Kumar, Annihilator Conditions of Multiplicative Reverse Derivation on Prime Rings, International Electronic Journal of Algebra 25 (2019) 87–103
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  6. 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
  7. 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 & Cryp- tography 24 (7) (2021) 2037–2046
  8. E. Ulutas, and ̈O. G ̈olbası, Results On Multiplicative Generalized (α, α)-Derivations, International Journal of Open Problems in Computer Science & Mathematics 13 (3) (2020) 128–135
  9. S. T ̈urkmen, and N. Aydın, Generalized *-Lie ideal of *-Prime Ring, Turkish Journal of Mathe- matics 41 (4) (2017) 841–853
  10. N. Aydın, E. Ko ̧c, and ̈O G ̈olba ̧sı, On *-(σ, τ )-Lie Ideals of *-Prime Rings with Derivation, Hacettepe Journal of Mathematics and Statics 47 (5) (2018) 1240–1247
  11. B. Albayrak, and N. Aydın, Reverse and Jordan-biderivation on Prime and semiprime Rings, Adıyaman University Journal of Science 9 (1) (2019) 149–164
  12. B. Albayrak, and D. Ye ̧sil, A Generalized Study on Closed Lie ̇Ideals with (α, α)-derivations, Eski ̧sehir Technical University Journal of Science and Technology B - Theoretical Sciences 7 (2) (2019) 195–203
  13. B. Albayrak, and D. Ye ̧sil, Closed Lie Ideals of Prime Rings with Generalized α-Derivations, International Journal of Mathematics Trends and Technology 65 (7) (2019) 101–109.