Nonlinear Maps Preserving a Family of Sum of Triple Products on *-Algebras

被引：0
|
作者：
da Motta Ferreira, 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, SP, Brazil
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2022年 / 48卷 / 06期
关键词：
Preserving problems; Prime algebras; *-Algebras; *-Ring isomorphisms; *-Ring anti-isomorphisms;
D O I：
10.1007/s41980-022-00713-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let A and B be two unital prime complex *-algebras such that A has a nontrivial projection. In this paper, we study the structure of a bijective map Phi : A -> B preserving the 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))(k=1)(6) are complex numbers satisfying some conditions. Applications of obtained results are presented.
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页码：3687 / 3699
页数：13
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