2 papers
math.RA2024
Unraveling Functional Equations in Composition Algebra: Resolving Conjectures and Examining Implications
Daniel Kawai, Bruno Leonardo Macedo Ferreira
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 ex…
math.RA2024
Exploring Functional Identities: From Division Rings to Matrix Algebras
Daniel Kawai, Bruno Leonardo Macedo Ferreira
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…