Nonlinear mixed ∗-Jordan type derivations on alternative ∗-algebras

被引：2
|
作者：
Pierin, Tanise Carnieri [1 ]
Ferreira, Ruth Nascimento [2 ]
Borges, Fernando [3 ]
Ferreira, Bruno Leonardo Macedo [2 ]
机构：
[1] Univ Fed Parana, Ctr Politecn, Ave Cel Francisco H dos Santos,100 Jd das Amer, BR-81530000 Curitiba, Brazil
[2] Fed Univ Technol Parana Brazil, Ave Prof Laura Pacheco Bastos 800, BR-85053510 Guarapuava, Brazil
[3] Univ Fed Parana, Rua Rio Grande do Norte,145 Mirassol, BR-83255000 Pontal Do Parana, Brazil
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2025年 / 24卷 / 02期
关键词：
Mixed & lowast; -Jordan type derivation; & lowast; -derivation; alternative & lowast; -algebras; MAPS;
D O I：
10.1142/S0219498825500288
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let A be a unital alternative & lowast;-algebra with a distinguished idempotent element. In this paper, it is shown that a map is a nonlinear mixed & lowast;-Jordan type derivation on A if and only if it is an additive & lowast;-derivation. As an application, one gets a result on alternative W & lowast;-algebras.
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页数：19
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