Research Article

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

Number: 39 June 30, 2022
Handan Karahan , Neşet Aydın , Didem Yeşil *
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On the Multiplicative (Generalised) (α, α)−Derivations of Semiprime Rings

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.

Keywords

Derivation, Reverse Derivation, Generalised Derivation, Generalised Reverse Derivation

References

  1. I. N. Herstein, Jordan Derivations of Prime Rings, Proceedings of the American Mathematical Society 8 (6) (1957) 1104–1110.
  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.
  5. 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.
  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 & Cryptography 24 (7) (2021) 2037–2046.
  8. 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.
  9. S. Türkmen, and N. Aydın, Generalized *-Lie ideal of *-Prime Ring, Turkish Journal of Mathematics 41 (4) (2017) 841–853.
  10. 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.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Handan Karahan This is me
0000-0002-9954-2269
Türkiye

Publication Date

June 30, 2022

Submission Date

June 6, 2022

Acceptance Date

June 28, 2022

Published in Issue

Year 2022 Number: 39

DOI

https://doi.org/10.53570/jnt.1126644

IZ

https://izlik.org/JA77TH39KM

Cite

RIS / Bibtex
APA
Karahan, H., Aydın, N., & Yeşil, D. (2022). On the Multiplicative (Generalised) (α, α)−Derivations of Semiprime Rings. Journal of New Theory, 39, 42-53. https://doi.org/10.53570/jnt.1126644
AMA
1.Karahan H, Aydın N, Yeşil D. On the Multiplicative (Generalised) (α, α)−Derivations of Semiprime Rings. JNT. 2022;(39):42-53. doi:10.53570/jnt.1126644
Chicago
Karahan, Handan, Neşet Aydın, and Didem Yeşil. 2022. “On the Multiplicative (Generalised) (α, α)−Derivations of Semiprime Rings”. Journal of New Theory, nos. 39: 42-53. https://doi.org/10.53570/jnt.1126644.
EndNote
Karahan H, Aydın N, Yeşil D (June 1, 2022) On the Multiplicative (Generalised) (α, α)−Derivations of Semiprime Rings. Journal of New Theory 39 42–53.
IEEE
[1]H. Karahan, N. Aydın, and D. Yeşil, “On the Multiplicative (Generalised) (α, α)−Derivations of Semiprime Rings”, JNT, no. 39, pp. 42–53, June 2022, doi: 10.53570/jnt.1126644.
ISNAD
Karahan, Handan - Aydın, Neşet - Yeşil, Didem. “On the Multiplicative (Generalised) (α, α)−Derivations of Semiprime Rings”. Journal of New Theory. 39 (June 1, 2022): 42-53. https://doi.org/10.53570/jnt.1126644.
JAMA
1.Karahan H, Aydın N, Yeşil D. On the Multiplicative (Generalised) (α, α)−Derivations of Semiprime Rings. JNT. 2022;:42–53.
MLA
Karahan, Handan, et al. “On the Multiplicative (Generalised) (α, α)−Derivations of Semiprime Rings”. Journal of New Theory, no. 39, June 2022, pp. 42-53, doi:10.53570/jnt.1126644.
Vancouver
1.Handan Karahan, Neşet Aydın, Didem Yeşil. On the Multiplicative (Generalised) (α, α)−Derivations of Semiprime Rings. JNT. 2022 Jun. 1;(39):42-53. doi:10.53570/jnt.1126644

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A New Perspective on $k$-Ideals of a Semiring via Soft Intersection Ideals

Journal of New Theory

https://doi.org/10.53570/jnt.1145507

 

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