Generalized differential identities on prime rings and algebras

被引：1
作者：
Ansari, Abu Zaid [1 ]
Shujat, Faiza [2 ]
Fallatah, Ahlam [2 ]
机构：
[1] Islamic Univ Madinah, Fac Sci, Dept Math, Medina, Saudi Arabia
[2] Taibah Univ, Fac Sci, Dept Math, Medina, Saudi Arabia
来源：
AIMS MATHEMATICS | 2023年 / 8卷 / 10期
关键词：
prime ring; derivation; generalized derivation; differential identities; Banach algebra; DERIVATIONS;
D O I：
10.3934/math.20231159
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The goal of this study is to bring out the following conclusion. Let R be a noncommutative prime ring with 2(m + n)! torsion freeness and let m and n be fixed, non-negative integers and d, g be Jordan derivations on R. If xm+nd(x) + xmg(x)xn & ISIN; Z(R) or d(x)xm+n + xmg(x)xn & ISIN; Z(R) or xnd(x)xm + xmg(x)xn & ISIN; Z(R) then d = g = 0 follows for every x & ISIN; R.
引用
收藏
页码：22758 / 22765
页数：8
相关论文
共 50 条
  • [31] Central *-differential identities in prime rings
    Lee, PH
    Wong, TL
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1996, 39 (02): : 211 - 215
  • [32] A STUDY OF DIFFERENTIAL IDENTITIES ON σ-PRIME RINGS
    Abbasi, Adnan
    Madni, Md. Arshad
    Mozumder, Muzibur Rahman
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2023, 38 (03): : 679 - 693
  • [33] Certain algebraic identities on prime rings with involution
    Mamouni, A.
    Oukhtite, L.
    Zerra, M.
    COMMUNICATIONS IN ALGEBRA, 2021, 49 (07) : 2976 - 2986
  • [34] Differential identities involving Engel conditions in prime rings
    Pary, Sajad Ahmad
    Shah, Firdous A.
    FILOMAT, 2024, 38 (21) : 7435 - 7440
  • [35] Identities with Product of Generalized Derivations of Prime Rings
    Carini, Luisa
    De Filipps, Vincenzo
    Scudo, Giovanni
    ALGEBRA COLLOQUIUM, 2013, 20 (04) : 711 - 720
  • [36] Derivations Vanishing Identities Involving Generalized Derivations and Multilinear Polynomial in Prime Rings
    S. K. Tiwari
    R. K. Sharma
    Mediterranean Journal of Mathematics, 2017, 14
  • [37] Derivations Vanishing Identities Involving Generalized Derivations and Multilinear Polynomial in Prime Rings
    Tiwari, S. K.
    Sharma, R. K.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (05)
  • [38] A Note on Differential Identities in Prime and Semiprime Rings
    Khan, Mohammad Shadab
    Raza, Mohd Arif
    Rehman, Nadeem Ur
    CONTEMPORARY MATHEMATICS, 2020, 1 (02): : 77 - 83
  • [39] ON CERTAIN DIFFERENTIAL IDENTITIES IN PRIME RINGS WITH INVOLUTION
    Ashraf, Mohammad
    Siddeeque, Mohammad Aslam
    MISKOLC MATHEMATICAL NOTES, 2015, 16 (01) : 33 - 44
  • [40] Generalized Jordan derivations on prime rings and standard operator algebras
    Jing, W
    Lu, SJ
    TAIWANESE JOURNAL OF MATHEMATICS, 2003, 7 (04): : 605 - 613
12345