In this paper, we tackle unresolved inquiries by Ferreira et al. {bruno} in their recent publication, ``Functional Identity on Division Algebras". We delve into the intricate behavior of additive functions on matrix algebras over division rings through rigorous analysis and theorem-proving. Our findings offer valuable insights into the nature of these functions and their implications for algebraic structures.
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Kawai et al. (2024) studied this question.
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