On b-generalized derivations in prime rings

被引:1
|
作者
Gupta, Charu [1 ]
机构
[1] Dr BR Ambedkar Univ Delhi, Sch Liberal Studies, Delhi 110006, India
关键词
Prime ring; Utumi quotient ring; Extended centroid; b-generalized derivation; MULTILINEAR POLYNOMIALS; VANISHING DERIVATIONS; LIE IDEALS; IDENTITIES;
D O I
10.1007/s12215-022-00817-9
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let R be a prime ring of characteristic different from 2 with Utumi quotient ring U and extended centroid C, f (x(1), ..., x(n)) be a multilinear polynomial over C, which is not central valued on R. Suppose F, G are non zero b-generalized derivations of R such that puF(u) + F(u)uq = G(u(2)), p + q is not an element of C for all u is an element of f(R). Then we describe all the possible representations of F, G.
引用
收藏
页码:2703 / 2720
页数:18
相关论文
共 50 条
  • [31] Generalized Derivations in Prime Rings
    吴伟
    宛昭勋
    Transactions of Tianjin University, 2011, (01) : 75 - 78
  • [32] A RESULT ON GENERALIZED DERIVATIONS IN PRIME RINGS
    Du, Yiqiu
    Wang, Yu
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2013, 42 (01): : 81 - 85
  • [33] ON GENERALIZED DERIVATIONS OF PRIME AND SEMIPRIME RINGS
    Huang, Shuliang
    TAIWANESE JOURNAL OF MATHEMATICS, 2012, 16 (02): : 771 - 776
  • [34] Generalized (σ, τ) higher derivations in prime rings
    Ashraf, Mohammad
    Khan, Almas
    SPRINGERPLUS, 2012, 1
  • [35] Generalized derivations in prime and semiprime rings
    Huang, Shuliang
    Rehman, Nadeem ur
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2016, 34 (02): : 29 - 34
  • [36] Generalized lie derivations in prime rings
    Hvala, Bojan
    TAIWANESE JOURNAL OF MATHEMATICS, 2007, 11 (05): : 1425 - 1430
  • [37] Generalized derivations and commutativity of prime rings
    Quadri, MA
    Khan, MS
    Rehman, N
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2003, 34 (09): : 1393 - 1396
  • [38] A note on generalized derivations on prime rings
    Fošner M.
    ur Rehman N.
    Bano T.
    Arabian Journal of Mathematics, 2018, 7 (3) : 189 - 193
  • [39] Commutativity of *-Prime Rings with Generalized Derivations
    Ashraf, Mohammad
    Khan, Almas
    RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2011, 125 : 71 - 79
  • [40] GENERALIZED DERIVATIONS ON IDEALS OF PRIME RINGS
    Albas, Emine
    MISKOLC MATHEMATICAL NOTES, 2013, 14 (01) : 3 - 9