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.
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页码：667 / 673
页数：7
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