On symmetric Jordan and Jordan left bi-derivations of prime rings

被引：0
|
作者：
Çeven Y. [1 ]
Çiloğlu Z. [1 ]
机构：
[1] Department of Mathematics, Faculty of Arts and Sciences, Süleyman Demirel University, Isparta
来源：
Afrika Matematika | 2018年 / 29卷 / 5-6期
关键词：
Symmetric Jordan bi-derivation; Symmetric Jordan left bi-derivation;
D O I：
10.1007/s13370-018-0570-8
中图分类号：
学科分类号：
摘要：
In this paper, we investigated some properties of symmetric Jordan bi-derivation and symmetric Jordan left bi-derivation for associative rings. We showed that for an associative prime ring with charR≠ 2 if D is a symmetric Jordan bi-derivation then D is symmetric bi-derivation. And also we showed that for a 2-torsion free and 3-torsion free prime ring, if there exists a nonzero symmetric Jordan left bi-derivation D then R is commutative. © 2018, African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature.
引用
收藏
页码：689 / 698
页数：9
相关论文
共 50 条
  • [21] Weak Jordan derivations of prime rings
    Lin, Jheng-Huei
    LINEAR & MULTILINEAR ALGEBRA, 2021, 69 (08): : 1422 - 1445
  • [22] Two Torsion Free Prime Gamma Rings With Jordan Left Derivations
    Halder, A. K.
    Paul, A. C.
    PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2014, 46 (01): : 59 - 65
  • [23] Generalized skew derivations as a generalization of left Jordan multipliers in prime rings
    Rania, Francesco
    De Filippis, Vincenzo
    COMMUNICATIONS IN ALGEBRA, 2024, 52 (05) : 1806 - 1817
  • [24] Jordan Left Derivations on Lie Ideals of Prime Gamma-rings
    Halder, A. K.
    Paul, A. C.
    PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2012, 44 : 23 - 29
  • [25] A note on derivations and Jordan ideals of prime rings
    Sandhu, Gurninder S.
    Kumar, Deepak
    AIMS MATHEMATICS, 2017, 2 (04): : 580 - 585
  • [26] On generalized derivations and Jordan ideals of prime rings
    Sandhu, Gurninder S.
    Davvaz, Bijan
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2021, 70 (01) : 227 - 233
  • [27] Jordan τ-derivations of Prime GPI-rings
    Lin, Jheng-Huei
    TAIWANESE JOURNAL OF MATHEMATICS, 2020, 24 (05): : 1091 - 1105
  • [28] 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
  • [29] Jordan derivations of prime rings with characteristic two
    Lee, Tsiu-Kwen
    Lin, Jheng-Huei
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 462 : 1 - 15
  • [30] Structure of generalized Jordan *-derivations on prime *-rings
    Khan, Abdul Nadim
    Khan, Mohammad Salahuddin
    GEORGIAN MATHEMATICAL JOURNAL, 2024, 31 (01) : 59 - 67
12345