Functional identity on division algebras

被引：1

作者：

Ferreira, Bruno Leonardo Macedo ^{[1
,2
]}

Dantas, Alex Carrazedo ^{[3
]}

Moraes, Gabriela C. ^{[2
]}

机构：

[1] Fed Univ Technol, Medianeira, PR, Brazil

[2] Fed Univ ABC, Estados Ave 5001, BR-09210580 Santo Andre, Brazil

[3] Univ Brasilia, Campus Univ Darcy Ribeiro, BR-70910900 Brasilia, DF, Brazil

来源：

BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA | 2024年 / 17卷 / 03期

关键词：

Additive maps; Division algebras; Functional identity;

D O I：

10.1007/s40574-023-00402-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let D be a division algebra. In this paper we describe additive maps f, g satisfying the identity x(-1) f ( x) + g(x(-1)) = 0 for every invertible x is an element of D. Even more, we provide descriptions of such maps on matrix algebra over the division algebra D.

引用

页码：667 / 673

页数：7

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