On Jordan ideals and matrix rings

被引：0

作者：

Roche, Jennifer L. ^{[1
]}

机构：

[1] Coll Wooster, Wooster, OH 44691 USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2009年 / 431卷 / 09期

关键词：

Matrix rings; Jordan ideals; Nonassociative algebras;

D O I：

10.1016/j.laa.2009.05.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For A, a commutative ring, and U = M(2)(A), results by Costa and Keller characterize certain Ep(2, U)-normalized subgroups of the symplectic group, Sp(2, U) via structures utilizing Jordan ideals and the notion of radices. The following work creates a Jordan ideal structure theorem for Z(2)-graded rings, A(0) circle plus A(1), and a Z(2)-graded matrix algebra. The major theorem is a generalization of Costa and Keller's previous work on matrix algebras over commutative rings. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：1675 / 1680

页数：6