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
  • [21] On left Jordan derivations of rings and Banach algebras
    Joso Vukman
    Aequationes mathematicae, 2008, 75 : 260 - 266
  • [22] Jordan Derivations of Special Subrings of Matrix Rings
    Sayin, Umut
    Kuzucuoglu, Feride
    ALGEBRA COLLOQUIUM, 2019, 26 (01) : 83 - 92
  • [23] On left Jordan derivations of rings and Banach algebras
    Vukman, Joso
    AEQUATIONES MATHEMATICAE, 2008, 75 (03) : 260 - 266
  • [24] Characterization of Lie-type higher derivations of triangular rings
    Ashraf, Mohammad
    Ansari, Mohammad Afajal
    Akhter, Md Shamim
    GEORGIAN MATHEMATICAL JOURNAL, 2023, 30 (01) : 33 - 46
  • [25] Jordan derivations and antiderivations on triangular matrices
    Benkovic, D
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 397 : 235 - 244
  • [26] Characterizations of Jordan derivations on rings: additive maps Jordan derivable at an idempotent
    An, Runling
    Hou, Jinchuan
    PROCEEDINGS OF THE THIRD INTERNATIONAL WORKSHOP ON APPLIED MATRIX THEORY, 2009, : 1 - 3
  • [27] Generalized Derivations and Generalized Jordan Derivations of Quaternion Rings
    H. Ghahramani
    M. N. Ghosseiriand
    L. Heidari Zadeh
    Iranian Journal of Science and Technology, Transactions A: Science, 2021, 45 : 305 - 308
  • [28] A note on generalized derivations of semiprime rings
    Vukman, Joso
    TAIWANESE JOURNAL OF MATHEMATICS, 2007, 11 (02): : 367 - 370
  • [29] Generalized Derivations and Generalized Jordan Derivations of Quaternion Rings
    Ghahramani, H.
    Ghosseiriand, M. N.
    Zadeh, L. Heidari
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2021, 45 (01): : 305 - 308
  • [30] Jordan τ-Derivations of Locally Matrix Rings
    Chen-Lian Chuang
    Ajda Fošner
    Tsiu-Kwen Lee
    Algebras and Representation Theory, 2013, 16 : 755 - 763