3 papers
math.RA2025
On the additivity of n-multiplicative isomorphisms, derivations, and related maps in axial algebras
Daniel Eiti Nishida Kawai, Henrique Guzzo, Bruno Leonardo Macedo Ferreira
In this paper, we demonstrate that several classes of functions, specifically n-multiplicative isomorphisms, derivations, elementary maps, and Jordan elementary maps on a class of…
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…