Jordan derivation of certain Jordan matrix algebras

被引：2

作者：

Wang, Dengyin ^{[1
]}

Hu, Qian ^{[1
]}

Xia, Chunguang ^{[1
]}

机构：

[1] China Univ Min & Technol, Dept Math, Xuzhou 221008, Peoples R China

来源：

LINEAR & MULTILINEAR ALGEBRA | 2008年 / 56卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Jordan algebras; Jordan derivations; symmetric matrices;

D O I：

10.1080/03081080701492165

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be an arbitrary 2-torsionfree commutative ring, M(n,R) the matrix algebra consisting of all nn matrices over R, S(n,R) (resp., D(n,R)) the subset of M(n,R) consisting of all symmetric (resp., diagonal) ones. In this article, we first determine all the Jordan subalgebras of S(n,R) containing D(n,R), then for any given Jordan subalgebra of S(n,R) containing D(n,R), we give an explicit description on its Jordan derivations.

引用

页码：581 / 588

页数：8

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