Araştırma Makalesi
BibTex RIS Kaynak Göster

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

Yıl 2022, Sayı: 39, 42 - 53, 30.06.2022

Handan Karahan Neşet Aydın Didem Yeşil

https://doi.org/10.53570/jnt.1126644
Cited By: 1

Öz

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.

Anahtar Kelimeler

Derivation Reverse Derivation Generalised Derivation Generalised Reverse Derivation

Kaynakça

  • 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.

Yıl 2022, Sayı: 39, 42 - 53, 30.06.2022

Handan Karahan Neşet Aydın Didem Yeşil

https://doi.org/10.53570/jnt.1126644
Cited By: 1

Öz

Kaynakça

  • 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.
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Handan Karahan Bu kişi benim 0000-0002-9954-2269

Neşet Aydın 0000-0002-7193-3399

Didem Yeşil 0000-0003-0666-9410

Yayımlanma Tarihi 30 Haziran 2022
Gönderilme Tarihi 6 Haziran 2022
Yayımlandığı Sayı Yıl 2022 Sayı: 39

Kaynak Göster

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 Karahan H, Aydın N, Yeşil D. On the Multiplicative (Generalised) (α, α)−Derivations of Semiprime Rings. JNT. Haziran 2022;(39):42-53. doi:10.53570/jnt.1126644
Chicago Karahan, Handan, Neşet Aydın, ve Didem Yeşil. “On the Multiplicative (Generalised) (α, α)−Derivations of Semiprime Rings”. Journal of New Theory, sy. 39 (Haziran 2022): 42-53. https://doi.org/10.53570/jnt.1126644.
EndNote Karahan H, Aydın N, Yeşil D (01 Haziran 2022) On the Multiplicative (Generalised) (α, α)−Derivations of Semiprime Rings. Journal of New Theory 39 42–53.
IEEE H. Karahan, N. Aydın, ve D. Yeşil, “On the Multiplicative (Generalised) (α, α)−Derivations of Semiprime Rings”, JNT, sy. 39, ss. 42–53, Haziran 2022, doi: 10.53570/jnt.1126644.
ISNAD Karahan, Handan vd. “On the Multiplicative (Generalised) (α, α)−Derivations of Semiprime Rings”. Journal of New Theory 39 (Haziran 2022), 42-53. https://doi.org/10.53570/jnt.1126644.
JAMA Karahan H, Aydın N, Yeşil D. On the Multiplicative (Generalised) (α, α)−Derivations of Semiprime Rings. JNT. 2022;:42–53.
MLA Karahan, Handan vd. “On the Multiplicative (Generalised) (α, α)−Derivations of Semiprime Rings”. Journal of New Theory, sy. 39, 2022, ss. 42-53, doi:10.53570/jnt.1126644.
Vancouver Karahan H, Aydın N, Yeşil D. On the Multiplicative (Generalised) (α, α)−Derivations of Semiprime Rings. JNT. 2022(39):42-53.

Cited By

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