A characterization of skew $b$-derivations in prime rings

Document Type : Research Paper

Authors

1 Department of Mathematics, Faculty of Science, Aligarh Muslim University, Aligarh, India

2 Department of Applied Mathematics, Z. H. College of Engineering & Technology Aligarh Muslim University, Aligarh, India

Abstract

Let $R$ be a prime ring, $\alpha$ an automorphism of $R$ and $b$ an element of $Q$, the maximal right ring of quotients of $R$. The main purpose of this paper is to characterize skew $b$-derivations in prime rings which satisfy various differential identities. Further, we provide an example to show that the assumed restrictions cannot be relaxed.

Keywords

References

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History

  • Receive Date: 18 March 2022
  • Revise Date: 23 July 2022
  • Accept Date: 01 August 2022

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