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.

引用

页数：19

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