| Texto completo | |
| Autor(es): |
Kawai, Daniel
;
Ferreira, Bruno Leonardo Macedo
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA; v. N/A, p. 41-pg., 2025-04-06. |
| Resumo | |
We will address the questions and conjectures left by the recent papers by Ferreira et al. (Bollettino dell'Unione Matematica Italiana, 2023, https://doi.org/10.1007/s40574-023-00402-7), (J Algebra 638:488-505, 2024). We also present an example showing the necessity of the conditions of the results that answer the conjectures. It leads us to the generalized Vukman equation: f(x)+xng(x-1)=0,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\begin{aligned} f(x)+x<^>ng(x<^>{-1})=0, \end{aligned}$$\end{document}for every invertible x, where n is a nonnegative integer and f, g are additive maps on an alternative ring D. We will study this equation for the split octonion algebras, the alternative division rings, and the field Z2(t)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {Z}}_2(t)$$\end{document} of rational functions over the field Z2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {Z}}_2$$\end{document} with two elements. (AU) | |
| Processo FAPESP: | 22/14579-0 - Condições suficientes para isomorfismos entre isótopos de álgebras não-associativas |
| Beneficiário: | Daniel Eiti Nishida Kawai |
| Modalidade de apoio: | Bolsas no Brasil - Doutorado |