CENTRALIZING AND COMMUTING INVOLUTION IN RINGS WITH DERIVATIONS

被引:3
|
作者
Khan, Abdul Nadim [1 ]
机构
[1] King Abdulaziz Univ, Dept Math, Fac Sci & Arts Rabigh, Jeddah, Saudi Arabia
来源
关键词
prime ring; involution; derivation; GENERALIZED DERIVATIONS; MAPPINGS;
D O I
10.4134/CKMS.c180394
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In [1], Ali and Dar proved the *-version of classical theorem due to Posner [15, Theorem] with involution of the second kind. The main objective of this paper is to improve the above mentioned result without the condition of the second kind involution. Moreover, a related result has been discussed.
引用
收藏
页码:1099 / 1104
页数:6
相关论文
共 50 条
  • [21] LIE IDEALS AND DERIVATIONS IN RINGS WITH INVOLUTION
    LANSKI, C
    PACIFIC JOURNAL OF MATHEMATICS, 1977, 69 (02) : 449 - 460
  • [22] A Classification of Generalized Derivations in Rings With Involution
    Bhushan, Bharat
    Sandhu, Gurninder S.
    Ali, Shakir
    Kumar, Deepak
    FILOMAT, 2021, 35 (05) : 1439 - 1452
  • [23] Multiplicative Jordan *-derivations on rings with involution
    Qi, Xiaofei
    Zhang, Feifei
    LINEAR & MULTILINEAR ALGEBRA, 2016, 64 (06): : 1145 - 1162
  • [24] 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
  • [25] Study of Generalized Derivations in Rings with Involution
    Mozumder, Muzibur Rahman
    Abbasi, Adnan
    Dar, Nadeem Ahmad
    KYUNGPOOK MATHEMATICAL JOURNAL, 2019, 59 (01): : 1 - 11
  • [26] DERIVATIONS WITH INVERTIBLE VALUES IN RINGS WITH INVOLUTION
    GIAMBRUNO, A
    MISSO, P
    MILIES, CP
    PACIFIC JOURNAL OF MATHEMATICS, 1986, 123 (01) : 47 - 54
  • [27] Lie derivations in prime rings with involution
    Swain, GA
    Blau, PS
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1999, 42 (03): : 401 - 411
  • [28] On *-n-derivations in rings with involution
    Ashraf, Mohammad
    Siddeeque, Mohammad Aslam
    GEORGIAN MATHEMATICAL JOURNAL, 2015, 22 (01) : 9 - 18
  • [29] Centralizing identities involving generalized derivations in prime rings
    De Filippis, Vincenzo
    Gupta, Pallavee
    Tiwari, Shailesh Kumar
    Prajapati, Balchand
    GEORGIAN MATHEMATICAL JOURNAL, 2024, 31 (04) : 587 - 605
  • [30] Pairwise commuting derivations of polynomial rings
    Li, Jiantao
    Du, Xiankun
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 436 (07) : 2375 - 2379