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
  • [31] ON JORDAN LEFT DERIVATIONS AND GENERALIZED JORDAN LEFT DERIVATIONS OF MATRIX RINGS
    Ghosseiri, N. M.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2012, 38 (03) : 689 - 698
  • [32] Bi-Jordan n-Derivations on Triangular Rings: Maximal Quotient Rings and Faithful Module
    Xinfeng LIANG
    Lingling ZHAO
    JournalofMathematicalResearchwithApplications, 2024, 44 (05) : 596 - 616
  • [33] Jordan generalized derivations on triangular algebras
    Li, Yanbo
    Benkovic, Dominik
    LINEAR & MULTILINEAR ALGEBRA, 2011, 59 (08): : 841 - 849
  • [34] Jordan Higher Derivations of Triangular Algebras
    Yang, Aili
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2015, 53 (01): : 68 - 73
  • [35] Jordan higher derivations on triangular algebras
    Xiao, Zhankui
    Wei, Feng
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 432 (10) : 2615 - 2622
  • [36] Jordan derivations and antiderivations on triangular matrices
    Benkovic, D
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 397 : 235 - 244
  • [37] 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
  • [38] 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
  • [39] Jordan τ-Derivations of Locally Matrix Rings
    Chen-Lian Chuang
    Ajda Fošner
    Tsiu-Kwen Lee
    Algebras and Representation Theory, 2013, 16 : 755 - 763
  • [40] ADDITIVITY OF JORDAN (TRIPLE) DERIVATIONS ON RINGS
    Jing, Wu
    Lu, Fangyan
    COMMUNICATIONS IN ALGEBRA, 2012, 40 (08) : 2700 - 2719
12345