A note on Jordan derivations of triangular rings

被引:0
|
作者
Ajda Fošner
Wu Jing
机构
[1] University of Primorska,Faculty of Management
[2] Fayetteville State University,Department of Mathematics and Computer Science
来源
Aequationes mathematicae | 2020年 / 94卷
关键词
Jordan derivation; Derivation; Triangular ring; Nest algebra; 16W25; 47B47; 47L35;
D O I
暂无
中图分类号
学科分类号
摘要
In this note we prove that every Jordan derivation on a triangular ring is a derivation. Moreover, we show that, under some conditions, every Jordan derivation on a 2-torsion free ring is a derivation.
引用
收藏
页码:277 / 285
页数:8
相关论文
共 50 条
  • [1] A note on Jordan derivations of triangular rings
    Fosner, Ajda
    Jing, Wu
    AEQUATIONES MATHEMATICAE, 2020, 94 (02) : 277 - 285
  • [2] A note on Jordan σ-derivations of triangular algebras
    Wang, Yu
    LINEAR & MULTILINEAR ALGEBRA, 2018, 66 (03): : 639 - 644
  • [3] Commuting Jordan Derivations on Triangular Rings Are Zero
    Hosseini, Amin
    Jing, Wu
    MATHEMATICAL NOTES, 2024, 115 (5-6) : 1006 - 1016
  • [4] NONLINEAR JORDAN HIGHER DERIVATIONS ON TRIANGULAR RINGS
    Xue, Chunhui
    An, Runling
    Zhang, Huiyuan
    INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA, 2014, 15 : 56 - 65
  • [5] Jordan Derivations on Strictly Triangular Matrix Rings
    Kuzucuoglu, Feride
    ALGEBRA COLLOQUIUM, 2011, 18 (03) : 519 - 522
  • [6] An extension to characterize Jordan higher derivations on triangular rings
    Hosseini, Amin
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2025,
  • [7] A note on derivations and Jordan ideals of prime rings
    Sandhu, Gurninder S.
    Kumar, Deepak
    AIMS MATHEMATICS, 2017, 2 (04): : 580 - 585
  • [8] A note on skew Jordan triple derivations on *-rings
    Madni, Md Arshad
    Abdioglu, Cihat
    Ahmed, Wasim
    Mozumder, Muzibur Rahman
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2024, 17 (02)
  • [9] A Note on Generalized Jordan *-Derivations on Prime *-Rings
    Khan, Abdul Nadim
    Dar, Nadeem Ahmad
    Abbasi, Adnan
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2021, 47 (02) : 403 - 414
  • [10] CHARACTERIZATIONS OF JORDAN DERIVATIONS ON TRIANGULAR RINGS: ADDITIVE MAPS JORDAN DERIVABLE AT IDEMPOTENTS
    An, Runling
    Hou, Jinchuan
    ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2010, 21 : 28 - 42