arXiv subjects

Daniel Kawai

Publications and source records attributed to Daniel Kawai.

2 recordsLinked to original sources

arXiv2024

Exploring Functional Identities: From Division Rings to Matrix Algebras

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.

math.RA↗

arXiv2024

Unraveling Functional Equations in Composition Algebra: Resolving Conjectures and Examining Implications

We address the conjectures left by the recent article by Ferreira et al. titled ``Commuting maps and identities with inverses on alternative division rings.'' We also present an example showing the necessity of the conditions of the results that answer the conjectures.

math.RA↗