Characterization of Jordan two-sided centralizers and related maps on triangular rings

被引:0
|
作者
Hosseini, Amin [1 ]
Ali, Shakir [2 ]
Karizaki, Mehdi Mohammadzadeh [3 ]
机构
[1] Kashmar Higher Educ Inst, Kashmar, Iran
[2] Aligarh Muslim Univ, Dept Math, Aligarh 202002, India
[3] Univ Torbat Heydarieh, Dept Comp Engn, Torbat Heydarieh, Iran
关键词
Jordan left (resp; right) centralizer; (Jordan) two-sided centralizer; (Jordan) two-sided generalized derivation; triangular ring; GENERALIZED DERIVATIONS; TRIPLE DERIVATIONS; ALGEBRAS; (M;
D O I
10.1515/gmj-2023-2032
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The main goal of this paper is to characterize Jordan two-sided centralizers, Jordan centralizers and related maps on triangular rings without identity. As an application of our main theorem, we characterize Jordan generalized derivations on triangular rings. Precisely, we prove that every Jordan generalized derivation on a triangular ring is a two-sided generalized derivation. As consequences, and apart from proving the other results, many known theorems can be either generalized or deduced.
引用
收藏
页码:727 / 737
页数:11
相关论文
共 50 条
  • [21] Two-sided zero product determined triangular algebras
    Ghahramani, Hoger
    Hosseini, Dana
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024,
  • [22] On Functional Equation Related to (m, n)-Jordan Centralizers in Prime Rings
    Fosner, Maja
    Marcen, Benjamin
    Vukman, Joso
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2019, 42 (06) : 3131 - 3147
  • [23] On Functional Equation Related to (m, n)-Jordan Centralizers in Prime Rings
    Maja Fošner
    Benjamin Marcen
    Joso Vukman
    Bulletin of the Malaysian Mathematical Sciences Society, 2019, 42 : 3131 - 3147
  • [24] Two-sided ideals in group near-rings
    Du, J
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2004, 77 : 321 - 334
  • [25] Characterization of two-sided generalized derivations
    Amin Hosseini
    Acta Scientiarum Mathematicarum, 2020, 86 : 577 - 600
  • [26] Characterization of two-sided generalized derivations
    Hosseini, Amin
    ACTA SCIENTIARUM MATHEMATICARUM, 2020, 86 (3-4): : 577 - 600
  • [27] Characterizing Jordan Maps on Triangular Rings Through Commutative Zero Products
    Ghahramani, Hoger
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (02)
  • [28] Characterizing Jordan Maps on Triangular Rings Through Commutative Zero Products
    Hoger Ghahramani
    Mediterranean Journal of Mathematics, 2018, 15
  • [29] On centrally extended Jordan derivations and related maps in rings
    Bhushan, Bharat
    Sandhu, Gurninder Singh
    Ali, Shakir
    Kumar, Deepak
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2023, 52 (01): : 23 - 35
  • [30] Two-sided delay-difference equations and evolution maps
    Barreira, Luis
    Valls, Claudia
    AEQUATIONES MATHEMATICAE, 2024,