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
  • [21] Orthogonal generalized (σ, τ)-derivations of semiprime rings
    Golbasi, O.
    Aydin, N.
    SIBERIAN MATHEMATICAL JOURNAL, 2007, 48 (06) : 979 - 983
  • [22] Generalized lie derivations in prime rings
    Hvala, Bojan
    TAIWANESE JOURNAL OF MATHEMATICS, 2007, 11 (05): : 1425 - 1430
  • [23] On generalized ()-derivations in semiprime rings with involution
    Ashraf, Mohammad
    Nadeem-ur-Rehman
    Ali, Shakir
    Mozumder, Muzibur Rahman
    MATHEMATICA SLOVACA, 2012, 62 (03) : 451 - 460
  • [24] Study of Generalized Derivations in Rings with Involution
    Mozumder, Muzibur Rahman
    Abbasi, Adnan
    Dar, Nadeem Ahmad
    KYUNGPOOK MATHEMATICAL JOURNAL, 2019, 59 (01): : 1 - 11
  • [25] Identities with Generalized Derivations in Prime Rings
    Fosner, Maja
    Vukman, Joso
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2012, 9 (04) : 847 - 863
  • [26] Identities with Generalized Derivations in Prime Rings
    Maja Fošner
    Joso Vukman
    Mediterranean Journal of Mathematics, 2012, 9 : 847 - 863
  • [27] On semiprime rings with multiplicative (generalized)-derivations
    Khan S.
    Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2016, 57 (1): : 119 - 128
  • [28] A CHARACTERIZATION OF GENERALIZED DERIVATIONS ON PRIME RINGS
    Alahmadi, Adel
    Ali, Shakir
    Khan, Abdul Nadim
    Khan, Mohammad Salahuddin
    COMMUNICATIONS IN ALGEBRA, 2016, 44 (08) : 3201 - 3210
  • [29] Generalized Derivations on Rings and Banach Algebras
    Sahebi, Shervin
    Rahmani, Venus
    ALGEBRA AND ITS APPLICATIONS, ICAA 2014, 2016, 174 : 81 - 87
  • [30] GENERALIZED DERIVATIONS ON IDEALS OF PRIME RINGS
    Albas, Emine
    MISKOLC MATHEMATICAL NOTES, 2013, 14 (01) : 3 - 9