Orthogonal Generalized Derivation and Left (Resp. Right) Centralizers on Semiprime Ring

Authors

  • Hanan Khalid Mousa Department of Mathematics, College of Education, AL-Mustansiriyah University, Baghdad, Iraq Author
  • Salah Mehdi Salih Department of Mathematics, College of Education, AL-Mustansiriyah University, Baghdad, Iraq Author

DOI:

https://doi.org/10.32628/IJSRSET2411585

Keywords:

Derivation, Generalized Derivation, Left Centralizer, Orthogonal, Semiprime Ring

Abstract

The object of this article is present the orthogonally of different two concepts. We proved: Assume  and  are orthog gd and l(rr)c on 2-tortion free semiprime ring  s.t.  is commutative then and  are orthog where  is associated derivation of .

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References

S.M. Salih , E.M. Khazal, 2018. " Orthogonal Generalized Higher Reveres Derivations on Semi prime Rings " International Journal of Applied Science and Technology, Vol. 8, No. 1,pp.24-36. http://www.rspublication.com/ijst/index.html.

M.Brešar and Vukman,1989. " Orthogonal Derivations and on Extension of a Theorem of Posner",RadoviMathematick , 5,pp. 237-246.

B. Zalar, 1991. "On Centralizers of Semiprime Ring", Comment. Math. University. Carol., 32(4), 609-614.

H. M. Alnoghashi, F.A. Alqarni and N.Ur Rehman,2023. “Results on Generalized Derivation in Prime Rings”, Algebraic Structures and Their Applications, Vol. 10, No. 2, pp 87-98.

M. A. Raza, A. Khan and H. Alhazmi “A Characterization of b−Generalized Derivations on Prime Rings with Involution” , AIMS Mathematics, 7(2): pp:2413–2426, 2021. DOI: https://doi.org/10.3934/math.2022136

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Published

25-09-2024

Issue

Section

Research Articles

How to Cite

[1]
Hanan Khalid Mousa and Salah Mehdi Salih, “Orthogonal Generalized Derivation and Left (Resp. Right) Centralizers on Semiprime Ring”, Int J Sci Res Sci Eng Technol, vol. 11, no. 5, pp. 108–110, Sep. 2024, doi: 10.32628/IJSRSET2411585.

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