Generalized Derivations on Prime Rings with Involution

Authors

  • Adel Alahmadi Department of Mathematics, King Abdulaziz University, Jeddah 21589
  • Husain Alhazmi Department of Mathematics, King Abdulaziz University, Jeddah 21589
  • Shakir Ali Department of Mathematics, Faculty of Science & Arts, Rabigh King Abdulaziz University, Jeddah 21589, Saudi Arabia; Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India
  • Abdul Nadim Khan Department of Mathematics, Faculty of Science & Arts, Rabigh King Abdulaziz University, Jeddah 21589

DOI:

https://doi.org/10.26713/cma.v8i1.503

Keywords:

Generalized derivation, Derivation, Involution and prime ring

Abstract

Let \(R\) be an associative ring. An additive mapping \(F : R \to R\) is called a generalized derivation with an associated derivation \(d\) of \(R\) if it satisfies \(F(xy) = F(x)y + xd(y)\) for all \(x, y \in R\). In the present paper, we obtain description of the structure of \(R\) and information about the generalized derivation \(F\) which satisfies certain \(\ast\)-differential identities on prime rings with involution.

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References

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Published

30-06-2017
CITATION

How to Cite

Alahmadi, A., Alhazmi, H., Ali, S., & Khan, A. N. (2017). Generalized Derivations on Prime Rings with Involution. Communications in Mathematics and Applications, 8(1), 87–97. https://doi.org/10.26713/cma.v8i1.503

Issue

Vol. 8 No. 1 (2017)

Section

Research Article

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