English

Exploring Functional Identities: From Division Rings to Matrix Algebras

Rings and Algebras 2024-03-28 v1

Abstract

In this paper, we tackle unresolved inquiries by Ferreira et al. \cite{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.

Keywords

Cite

@article{arxiv.2403.17970,
  title  = {Exploring Functional Identities: From Division Rings to Matrix Algebras},
  author = {Daniel Kawai and Bruno Leonardo Macedo Ferreira},
  journal= {arXiv preprint arXiv:2403.17970},
  year   = {2024}
}

Comments

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R2 v1 2026-06-28T15:34:35.746Z