Nonlinear maps of -derivation-type on a family of sum of triple products on -algebras

被引：2

作者：

da Motta Ferreiraa, Joao Carlos ^{[1
]}

Bruno Marietto, Maria das Gracas ^{[1
]}

机构：

[1] Fed Univ ABC, Ctr Math Comp & Cognit, Ave Estados 5001, BR-09210580 Santo Andre, Brazil

来源：

COMMUNICATIONS IN ALGEBRA | 2023年 / 51卷 / 08期

关键词：

Additive *-derivations; prime algebras; *-algebras;

D O I：

10.1080/00927872.2023.2184633

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a unital prime complex *-algebra having a nontrivial projection. In this paper, we proved that every *-derivation-type map Phi : A -> A on sum of triple products alpha(1)abc + alpha(2)a(*)cb + alpha(3)ba(*)c + alpha(4)cab + alpha(5)bca + alpha(6)cba(*), for all elements a, b, c is an element of A, where the scalars {alpha(k)}(6)(k=1) are rational numbers satisfying some conditions, is an additive *-derivation. An application of the results is also presented.

引用

页码：3394 / 3404

页数：11

Nonlinear maps of *-derivation-type on a family of sum of triple products on *-algebras

Nonlinear maps of -derivation-type on a family of sum of triple products on -algebras