Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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A STUDY OF DIFFERENTIAL IDENTITIES ON 𝜎-PRIME RINGS

  • Adnan Abbasi (Department of Mathematics Madanapalle Institute of Technology & Science) ;
  • Md. Arshad Madni (Department of Mathematics Aligarh Muslim University) ;
  • Muzibur Rahman Mozumder (Department of Mathematics Aligarh Muslim University)
  • Received : 2022.08.16
  • Accepted : 2023.05.17
  • Published : 2023.07.31
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Abstract

Let 𝓡 be a 𝜎-prime ring with involution 𝜎. The main objective of this paper is to describe the structure of the 𝜎-prime ring 𝓡 with involution 𝜎 satisfying certain differential identities involving three derivations 𝜓1, 𝜓2 and 𝜓3 such that 𝜓1[t1, 𝜎(t1)] + [𝜓2(t1), 𝜓2(𝜎(t1))] + [𝜓3(t1), 𝜎(t1)] ∈ 𝒥Z for all t1 ∈ 𝓡. Further, some other related results have also been discussed.

Keywords

Acknowledgement

The author would like to thank the referees for providing very helpful comments and suggestions. The third author is supported by DSTSERB project MATRICS file No. MTR/2022/000153.

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