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

页码：125 / 137

页数：13

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

NONLINEAR -JORDAN-TYPE DERIVATIONS ON ALTERNATIVE -ALGEBRAS