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
收藏
页码：581 / 588
页数：8
相关论文
共 50 条
  • [21] ON GENERALIZED JORDAN DERIVATIONS OF GENERALIZED MATRIX ALGEBRAS
    Ashraf, Mohammad
    Jabeen, Aisha
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2020, 35 (03): : 733 - 744
  • [22] Generalized Jordan derivations on triangular matrix algebras
    Ma, Fei
    Ji, Guoxing
    LINEAR & MULTILINEAR ALGEBRA, 2007, 55 (04): : 355 - 363
  • [23] Jordan Left Derivations of Generalized Matrix Algebras
    Li Chen-Fang
    Li Yan-Bo
    Communications in Mathematical Research, 2014, 30 (04) : 301 - 306
  • [24] Matrix theory of unoriented membranes and Jordan algebras
    Varga, P
    JOURNAL OF MATHEMATICAL PHYSICS, 2005, 46 (03)
  • [25] Jordan matrix algebras defined by generators and relations
    Luo, Yingyu
    Wang, Yu
    Gu, Junjie
    Wang, Huihui
    AIMS MATHEMATICS, 2021, 7 (02): : 3047 - 3055
  • [26] Lie (Jordan) centralizers on generalized matrix algebras
    Jabeen, Aisha
    COMMUNICATIONS IN ALGEBRA, 2021, 49 (01) : 278 - 291
  • [27] JORDAN DERIVATIONS AND ANTIDERIVATIONS OF GENERALIZED MATRIX ALGEBRAS
    Li, Yanbo
    van Wyk, Leon
    Wei, Feng
    OPERATORS AND MATRICES, 2013, 7 (02): : 399 - 415
  • [28] Jordan product determined points in matrix algebras
    Zhu, Jun
    Yang, Wenlei
    MATHEMATICAL COMMUNICATIONS, 2013, 18 (02) : 309 - 321
  • [29] JORDAN TRIPLE FORMS OF JORDAN ALGEBRAS
    NEHER, E
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 87 (03) : 386 - 388
  • [30] Additivity of Jordan maps on Jordan algebras
    Ji, Peisheng
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 431 (1-2) : 179 - 188
12345