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
  • [41] Jordan f-Derivations on Prime and Semiprime Rings
    Leerawat, Utsanee
    Toka, Patipat
    THAI JOURNAL OF MATHEMATICS, 2024, 22 (01): : 85 - 91
  • [42] Jordan Homoderivation Behavior of Generalized Derivations in Prime Rings
    Bera, Nripendu
    Dhara, Basudeb
    UKRAINIAN MATHEMATICAL JOURNAL, 2024, : 1340 - 1360
  • [43] Generalized Jordan Right Derivations on Prime and Semiprime Γ-Rings
    Faruk, Omar
    Rahman, Md Mizanor
    JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES, 2019, 14 (04): : 268 - 279
  • [44] Jordan ideals and derivations in prime near-rings
    Boua, Abdelkarim
    Oukhtite, Lahcen
    Raji, Abderrahmane
    COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2014, 55 (02): : 131 - 139
  • [45] Generalized Jordan triple higher derivations on prime rings
    Jung, YS
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2005, 36 (09): : 513 - 524
  • [46] ON (m, n)-JORDAN DERIVATIONS AND COMMUTATIVITY OF PRIME RINGS
    Vukman, Joso
    DEMONSTRATIO MATHEMATICA, 2008, 41 (04) : 773 - 778
  • [47] Jordan left derivations in infinite matrix rings
    Zhang, Daochang
    Ma, Leiming
    Hu, Jianping
    Sun, Chaochao
    DEMONSTRATIO MATHEMATICA, 2024, 57 (01)
  • [48] On left Jordan derivations of rings and Banach algebras
    Joso Vukman
    Aequationes mathematicae, 2008, 75 : 260 - 266
  • [49] On left Jordan derivations of rings and Banach algebras
    Vukman, Joso
    AEQUATIONES MATHEMATICAE, 2008, 75 (03) : 260 - 266
  • [50] GENERALIZED JORDAN LEFT DERIVATIONS IN RINGS WITH INVOLUTION
    Oukhtite, Lahcen
    DEMONSTRATIO MATHEMATICA, 2012, 45 (04) : 807 - 812
12345