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
  • [1] Generalized Jordan derivation on nest algebras
    Hou, Jinchuan
    Qi, Xiaofei
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 430 (5-6) : 1479 - 1485
  • [2] Determinants in Jordan matrix algebras
    Hamhalter, Jan
    Kalenda, Ondrej F. K.
    Peralta, Antonio M.
    LINEAR & MULTILINEAR ALGEBRA, 2023, 71 (06): : 961 - 1002
  • [3] NONCOMMUTATIVE MATRIX JORDAN ALGEBRAS
    BROWN, RB
    HOPKINS, NC
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 333 (01) : 137 - 155
  • [4] NONLINEAR ξ-JORDAN TRIPLE *-DERIVATION ON PRIME *-ALGEBRAS
    Zhang, Fangjuan
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2022, 52 (01) : 323 - 333
  • [5] ON JORDAN HOMO-DERIVATION OF TRIANGULAR ALGEBRAS
    ur Rehman, Nadeem
    Alnoghashi, Hafedh M.
    MISKOLC MATHEMATICAL NOTES, 2023, 24 (01) : 403 - 410
  • [6] NONLINEAR *-JORDAN TRIPLE DERIVATION ON PRIME *-ALGEBRAS
    Darvish, Vahid
    Nouri, Mojtaba
    Razeghi, Mehran
    Taghavi, Ali
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2020, 50 (02) : 543 - 549
  • [7] Nonlinear Mixed λ-Jordan Triple Derivation on *-algebras
    Alali, Amal S.
    Nisar, Junaid
    Rehman, Nadeem ur
    Alnoghashi, Hafedh M.
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2024, 17 (04): : 3399 - 3414
  • [8] DERIVATION ALGEBRAS AND MULTIPLICATION ALGEBRAS OF SEMI-SIMPLE JORDAN ALGEBRAS
    JACOBSON, N
    ANNALS OF MATHEMATICS, 1949, 50 (04) : 866 - 874
  • [9] Jordan homomorphisms of the structural matrix algebras
    Akkurt, E.
    Akkurt, M.
    Barker, G. P.
    LINEAR & MULTILINEAR ALGEBRA, 2015, 63 (12): : 2518 - 2525
  • [10] Jordan derivations of full matrix algebras
    Alizadeh, R.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 430 (01) : 574 - 578
12345