COMMUTING U-OPERATORS IN JORDAN ALGEBRAS

被引：5

作者：

Anquela, Jose A. ^{[1
]}

Cortes, Teresa ^{[1
]}

Petersson, Holger P. ^{[2
]}

机构：

[1] Univ Oviedo, Dept Matemat, E-33007 Oviedo, Spain

[2] Univ Hagen, Fak Math & Informat, D-58084 Hagen, Germany

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2014年 / 366卷 / 11期

关键词：

SPRINGER-TITS CONSTRUCTIONS; DIVISION-ALGEBRAS;

D O I：

10.1090/S0002-9947-2014-06054-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For elements x, y in a non-degenerate non-unital Jordan algebra over a commutative ring, the relation x omicron y = 0 is shown to imply that the U-operators of x and y commute: UxUy = UyUx. The proof rests on the Zel' manov-McCrimmon classification of strongly prime quadratic Jordan algebras.

引用

页码：5877 / 5902

页数：26

共 20 条

[1] Moufang sets and jordan division algebras [J].