On Jordan Triple Derivations and Related Mappings

被引:0
|
作者
Maja Fošner
Dijana Ilišević
机构
[1] University of Maribor,Faculty of Logistics
[2] University of Zagreb,Department of Mathematics
来源
关键词
Primary 16N60; 16W10; 16W25; 39B52; Semiprime ring; semiprime *-ring; (generalized) derivation; (generalized) Jordan triple derivation; (generalized) Jordan *-derivation; (generalized) Jordan triple *-derivation; left (right) centralizer;
D O I
暂无
中图分类号
学科分类号
摘要
In this article we study certain functional equations and systems of functional equations related to (generalized) derivations on semiprime rings. In particular, we prove that any generalized Jordan triple derivation on a 2- torsion free semiprime ring is a generalized derivation. We also prove that any (generalized) Jordan triple *-derivation on a 2-torsion free semiprime *-ring is a (generalized) Jordan *-derivation.
引用
收藏
页码:415 / 427
页数:12
相关论文
共 50 条
  • [1] On Jordan Triple Derivations and Related Mappings
    Fosner, Maja
    Ilisevic, Dijana
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2008, 5 (04) : 415 - 427
  • [2] On Generalized Jordan Triple (α, β)*-Derivations and Related Mappings
    Ali, Shakir
    Fosner, Ajda
    Fosner, Maja
    Khan, Mohammad Salahuddin
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2013, 10 (04) : 1657 - 1668
  • [3] On Generalized Jordan Triple (α, β)*-Derivations and Related Mappings
    Shakir Ali
    Ajda Fošner
    Maja Fošner
    Mohammad Salahuddin Khan
    [J]. Mediterranean Journal of Mathematics, 2013, 10 : 1657 - 1668
  • [4] Jordan (α, β)-derivations on triangular algebras and related mappings
    Han, Dong
    Wei, Feng
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2011, 434 (01) : 259 - 284
  • [5] Notes on Jordan (σ, τ)*-derivations and Jordan triple (σ, τ)*-derivations
    Golbasi, Oznur
    Koc, Emine
    [J]. AEQUATIONES MATHEMATICAE, 2013, 85 (03) : 581 - 591
  • [6] Notes on Jordan (σ, τ)*-derivations and Jordan triple (σ, τ)*-derivations
    Öznur Gölbaşı
    Emine Koç
    [J]. Aequationes mathematicae, 2013, 85 : 581 - 591
  • [7] LEFT JORDAN DERIVATIONS ON BANACH ALGEBRAS AND RELATED MAPPINGS
    Jung, Yong-Soo
    Park, Kyoo-Hong
    [J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2010, 47 (01) : 151 - 157
  • [8] On a Functional Equation Related to Jordan Triple Derivations in Prime Rings
    Fosner, M.
    Marcen, B.
    Vukman, J.
    [J]. MATHEMATICAL NOTES, 2018, 103 (5-6) : 820 - 831
  • [9] On a Functional Equation Related to Jordan Triple Derivations in Prime Rings
    M. Fošner
    B. Marcen
    J. Vukman
    [J]. Mathematical Notes, 2018, 103 : 820 - 831
  • [10] On certain functional equations related to Jordan triple (θ, φ)-derivations on semiprime rings
    Fosner, Ajda
    Vukman, Joso
    [J]. MONATSHEFTE FUR MATHEMATIK, 2011, 162 (02): : 157 - 165