DERIVATIONS ON MORITA RINGS AND GENERALIZED DERIVATIONS

被引:2
|
作者
Al-Nofayee, S. [1 ]
Nauman, S. K. [1 ,2 ]
机构
[1] Taif Univ, Dept Math, Hawiah 21974, Saudi Arabia
[2] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
关键词
Generalized derivation; internal derivation; Morita invariant; Morita derivation; doubly derived context; CONTEXTS;
D O I
10.1142/S0219498811004525
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this note, derivations on Morita rings (generalized matrix rings) are introduced and generalized derivations on rings are proved to be Morita invariant without involvement of any homology theory.
引用
收藏
页码:191 / 200
页数:10
相关论文
共 50 条
  • [31] Generalized derivations of left faithful rings
    Lee, TK
    COMMUNICATIONS IN ALGEBRA, 1999, 27 (08) : 4057 - 4073
  • [32] IDENTITIES WITH GENERALIZED DERIVATIONS IN SEMIPRIME RINGS
    Dhara, Basudeb
    Ali, Shakir
    Pattanayak, Atanu
    DEMONSTRATIO MATHEMATICA, 2013, 46 (03) : 453 - 460
  • [33] ON GENERALIZED DERIVATIONS OF PRIME AND SEMIPRIME RINGS
    Huang, Shuliang
    TAIWANESE JOURNAL OF MATHEMATICS, 2012, 16 (02): : 771 - 776
  • [34] Generalized reverse derivations on semiprime rings
    A. Aboubakr
    S. González
    Siberian Mathematical Journal, 2015, 56 : 199 - 205
  • [35] A note on generalized derivations of semiprime rings
    Vukman, Joso
    TAIWANESE JOURNAL OF MATHEMATICS, 2007, 11 (02): : 367 - 370
  • [36] Remarks on generalized derivations in factor rings
    Sandhu, Gurninder Singh
    Singh, Sukhchain
    GEORGIAN MATHEMATICAL JOURNAL, 2025, 32 (01) : 183 - 184
  • [37] ON η- GENERALIZED DERIVATIONS IN RINGS WITH JORDAN INVOLUTION
    Miyan, Phool
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2024, 39 (03): : 585 - 593
  • [38] Orthogonal generalized (σ, τ)-derivations of semiprime rings
    Oznur Gölbaşi
    Neşet Aydin
    Siberian Mathematical Journal, 2007, 48 : 979 - 983
  • [39] A RESULT ON GENERALIZED DERIVATIONS IN PRIME RINGS
    Du, Yiqiu
    Wang, Yu
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2013, 42 (01): : 81 - 85
  • [40] Generalized (σ, τ) higher derivations in prime rings
    Ashraf, Mohammad
    Khan, Almas
    SPRINGERPLUS, 2012, 1