NONLINEAR *-JORDAN-TYPE DERIVATIONS ON ALTERNATIVE *-ALGEBRAS

被引：2
|
作者：
Andrade, A. J. O. [1 ]
Moraes, G. C. [1 ]
Ferreira, R. N. [2 ]
Ferreira, B. L. M. [2 ]
机构：
[1] Fed Univ ABC, 5001 Estados Ave, BR-09210580 Santo Andre, SP, Brazil
[2] Fed Univ Technol, 800 Prof Laura Pacheco Bastos Ave, BR-85053510 Guarapuava, Brazil
来源：
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2022年 / 19卷 / 01期
关键词：
*-Jordan-type derivation; *-derivation; alternative *-algebras; MAPS; PRODUCT; ADDITIVITY; RINGS;
D O I：
10.33048/semi.2022.19.012
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let A be an unital alternative *-algebra. Assume that A contains a nontrivial symmetric idempotent element e which satisfies x(A) . e = 0 implies x = 0 and xA . (1(A) - e) = 0 implies x = 0. In this paper, it is shown that Phi is a nonlinear *-Jordan-type derivation on A if and only if Phi is an additive *-derivation. As application, we get a result on alternative W*-algebras.
引用
收藏
页码：125 / 137
页数：13
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