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

共 50 条

[1] ON A CERTAIN SUPERSYMMETRIC IDENTITY AND THE DIVISION-ALGEBRAS
FOOT, R
JOSHI, GC
MODERN PHYSICS LETTERS A, 1988, 3 (10) : 999 - 1004
[2] About division quaternion algebras and division symbol algebras
Savin, Diana
CARPATHIAN JOURNAL OF MATHEMATICS, 2016, 32 (02) : 233 - 240
[3] Division algebras
Rowen, LH
PROCEEDINGS OF THE THIRD INTERNATIONAL ALGEBRA CONFERENCE, 2003, : 221 - 233
[4] On division algebras
Hazlett, O. C.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1930, 32 (1-4) : 912 - 925
[5] On division algebras
Wedderburn, J. H. M.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1921, 22 (1-4) : 129 - 135
[6] Correspondences between valued division algebras and graded division algebras
Hwang, YS
Wadsworth, AR
JOURNAL OF ALGEBRA, 1999, 220 (01) : 73 - 114
[7] JORDAN DIVISION ALGEBRAS AND THE ALGEBRAS A LAMBDA
PRICE, CM
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1951, 70 (MAR) : 291 - 300
[8] Division Algebras, Clifford Algebras, Periodicity
Geoffrey Dixon
Advances in Applied Clifford Algebras, 2018, 28
[9] Division Algebras, Clifford Algebras, Periodicity
Dixon, Geoffrey
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2018, 28 (01)
[10] INDECOMPOSABLE DIVISION ALGEBRAS
SALTMAN, DJ
COMMUNICATIONS IN ALGEBRA, 1979, 7 (08) : 791 - 817

← 1 2 3 4 5 →