Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ENDOMORPHISMS, ANTI-ENDOMORPHISMS AND BI-SEMIDERIVATIONS ON RINGS

  • ABU ZAID ANSARI (Department of Mathematics, Faculty of Science, Islamic University of Madinah) ;
  • FAIZA SHUJAT (Department of Mathematics, Faculty of Science, Taibah University) ;
  • AHLAM FALLATAH (Department of Mathematics, Faculty of Science, Taibah University)
  • Received : 2023.08.03
  • Accepted : 2023.11.28
  • Published : 2024.01.30
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Abstract

The goal of this study is to bring out the following conclusion: Let 𝓡 be a non-commutative prime ring of characteristic not two and 𝓓 be a bi-semiderivation on 𝓡 with a function 𝖋 (surjective). If 𝓓 acts as an endomorphism or as an anti-endomorphism, then 𝓓 = 0 on 𝓡.

Keywords

Acknowledgement

The authors of the paper extend their sincere gratitude to Islamic University of Madinah and Taibah University, Madinah, Saudi Arabia.

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