<p>The fundamental aim of this research article is to examine the concept of generalized symmetric bi-derivations on semiprime rings and present classical commutativity results for such bi-derivations. Furthermore, our goal is to expand upon the findings of Vukman (Aequationes Math 40:181–189, 1990, Theorem 4) and Ali et al. (Matematički Vesnik 66:410–417, 2014, Theorem 4.2).</p>

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Remarks on generalized symmetric bi-derivations of semiprime rings

  • Motoshi Hongan,
  • Nadeem ur Rehman

摘要

The fundamental aim of this research article is to examine the concept of generalized symmetric bi-derivations on semiprime rings and present classical commutativity results for such bi-derivations. Furthermore, our goal is to expand upon the findings of Vukman (Aequationes Math 40:181–189, 1990, Theorem 4) and Ali et al. (Matematički Vesnik 66:410–417, 2014, Theorem 4.2).